# CAT Questions | CAT Arithmetic

###### CAT Quantitative Aptitude | CAT Speed time distance & Races

A CAT Speed time distance & Races is one of the most commonly tested topics in CAT exam. Questions from CAT speed time distance and Races have appeared consistently in the CAT exam for the last several years. Speed Time Distance and Races is a very interesting topic, as it is relatable in real life scenarios. CAT exam also does not only check for formulaic knowledge in this idea, but also for strang fundamentals and application of the concepts involved. Races as an idea is built on CAT Speed time distance, Ratio proportions. One can usually expect 3-4 questions from these ideas in the CAT exam. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

1. #### CAT Races: Circular Races

Two friends A and B simultaneously start running around a circular track . They run in the same direction. A travels at 6 m/s and B runs at b m/s. If they cross each other at exactly two points on the circular track and b is a natural number less than 30, how many values can b take?

1. 3
2. 4
3. 7
4. 5

2. #### CAT Races: Races in a square

Consider a square ABCD. EFGH is another square obtained by joining the midpoints of the sides of the square ABCD where E, F , G amd H are the midpoints of AB, BC, CD and DA respectively. Lakshman and Kanika start from points B and D respectively at speeds ‘l’ kmph and ‘k’ kmph respectively and travel towards each other along the sides of the square ABCD. Jagadeesh starts from Point E and travels along the Square EFGH in the anti-clockwise direction at ‘j’ kmph. Lakshman and Kanika meet for the second time at H where Jagadeesh also meets them for the first time. If l : k : j is 1: 3 : 5√2 then the distance travelled by Jagadeesh is

1. 7.5 × √2 times the side of the square ABCD
2. 7.5 × √2 times the side of the square EFGH
3. 7.5 times the side of the square ABCD
4. 7.5 times the side of the square EFGH

3. #### CAT Time Speed and Distance: Cars

Three cars leave A for B in equal time intervals. They reach B simultaneously and then leave for Point C which is 240 km away from B. The first car arrives at C an hour after the second car. The third car, having reached C, immediately turns back and heads towards B. The first and the third car meet a point that is 80 km away from C. What is the difference between the speed of the first and the third car?

1. 60 kmph
2. 20 kmph
3. 40 kmph
4. 80 kmph

4. #### CAT Races: Circular Races

Three friends A, B and C decide to run around a circular track. They start at the same time and run in the same direction. A is the quickest and when A finishes a lap, it is seen that C is as much behind B as B is behind A. When A completes 3 laps, C is the exact same position on the circular track as B was when A finished 1 lap. Find the ratio of the speeds of A, B and C?

1. 5 : 4 : 2
2. 4 : 3 : 2
3. 5 : 4 : 3
4. 3 : 2 : 1

5. #### CAT Time Speed and Distance: Speed Change

Mr. X decides to travel from Delhi to Gurgaon at a uniform speed and decides to reach Gurgaon after T hr. After 30 km, there is some engine malfunction and the speed of the car becomes (4/5)th of the original speed. So, he travels the rest of the distance at a constant speed (4/5)th of the original speed and reaches Gurgaon 45 minutes late. Had the same thing happened after he travelled 48 km, he would have reached only 36 minutes late. What is the distance between Delhi and Gurgaon?

1. 90 km
2. 120 km
3. 20 km
4. 40 km

6. #### CAT Time Speed and Distance: Meeting point

Two friends A and B leave City P and City Q simultaneously and travel towards Q and P at constant speeds. They meet at a point in between the two cities and then proceed to their respective destinations in 54 minutes and 24 minutes respectively. How long did B take to cover the entire journey between City Q and City P?

1. 60
2. 36
3. 24
4. 48

7. #### CAT Races: Race in a pool

A swimming pool is of length 50 m. A and B enter a 300 m race starting simultaneously at one end of the pool at speeds of 3 m/s and 5 m/s. How many times will they meet while travelling in opposite directions before B completes the race?

1. Twice
2. Thrice
3. Once
4. 5 Times

8. #### CAT Time Speed and Distance: Relative Speed

Car A trails car B by 50 meters. Car B travels at 45km/hr. Car C travels from the opposite direction at 54km/hr. Car C is at a distance of 220 meters from Car B. If car A decides to overtake Car B before cars B and C cross each other, what is the minimum speed at which car A must travel?

1. 36 km/hr
2. 45 km/hr
3. 67.5 km/hr
4. 18 km/hr

9. #### CAT Races: Circular Races

A and B stand at distinct points of a circular race track of length 120m. They run at speeds of a m/s and b m/s respectively. They meet for the first time 16 seconds after they start the race and for the second time 40 seconds from the time they start the race. Now, if B had started in the opposite direction to the one he had originally started, they would have meet for the first time after 40 seconds. If B is quicker than A, find B’s speed.

1. 3 m/s
2. 4 m/s
3. 5 m/s
4. 8 m/s

10. #### CAT Time Speed and Distance: Boats and Streams

City A to City B is a downstream journey on a stream which flows at a speed of 5km/hr. Boats P and Q run a shuttle service between the two cities that are 300 kms apart. Boat P, which starts from City A has a still-water speed of 25km/hr, while boat Q, which starts from city B at the same time has a still-water speed of 15km/hr. When will the two boats meet for the first time? (this part is easy) When and where will they meet for the second time?

1. 7.5 hours and 15 hours
2. 7.5 hours and 18 hours
3. 8 hours and 18 hours
4. 7.5 hours and 20 hours

11. #### CAT Time Speed and Distance: Relative Speed

Cities M and N are 600km apart. Bus A starts from city M towards N at 9AM and bus B starts from city N towards M at the same time. Bus A travels the first one-third of the distance at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmph. Bus B travels the first one-third of the total time taken at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmph. When and where will the two buses cross each other?

1. 300 kms from M
2. 280 kms from M
3. 305 kms from M
4. 295 kms from M

12. #### CAT Time Speed and Distance: Relative Speed

A car of length 4m wants to overtake a trailer truck of length 20m travelling at 36km/hr within 10 seconds. At what speed should the car travel?

1. 12 m/s
2. 14.8 m/s
3. 12.4 m/s
4. 7.6 m/s

13. #### CAT Time Speed and Distance: Relative Speed

Train A travelling at 63 kmph takes 27 to sec to cross Train B when travelling in opposite direction whereas it takes 162 seconds to overtake it when travelling in the same direction. If the length of train B is 500 meters, find the length of Train A.

1. 400 m
2. 810 m
3. 500 m
4. 310 m

14. #### CAT Races: Dead Heat

P cycles at a speed of 4 m/s for the first 8 seconds, 5 m/s for the next 8 seconds, 6 m/s for the next 8 and so on. Q cycles at a constant speed of 6.5 m/s throughout. If P and Q had to cycle for a 436 m race, how much lead in terms of distance, can P give Q and still finish at the same time as Q?

1. 43.4 m
2. 56.6 m
3. 46 m
4. P cannot give a lead as Q is always ahead of P

15. #### CAT Time Speed and Distance: Ratio of speeds

A bus starts from a bus stop P and goes to another bus stop Q. In between P and Q, there is a bridge AB of certain length. A man is standing at a point C on the bridge such that AC:CB = 1:3. When the bus starts at P and if the man starts running towards A, he will meet the bus at A. But if he runs towards B, the bus will overtake him at B. Which of the following is true?

1. Bus travels 3x times faster than the man
2. Bus travels 2x times faster than the man
3. The bus and the man travel at the same speed
4. 4x the speed of the man is equal to 3x the speed of the bus

16. #### CAT Time Speed and Distance: Fuel consumption

Ramesh takes 6.5 hours to go from city A to city B at 3 different speeds 30 kmph, 45 kmph, and 60 kmph covering the same distance with each speed. The respective mileages per liter of fuel are 11 km, 14 km and 18 km for the above speeds. Ramesh's friend Arun is an efficient driver and wants to minimise his friend's car's fuel consumption. So he decides to drive Ramesh's car one day from city A to city B. How much fuel will he be able to save?

1. 4.2 liters
2. 4.5 liters
3. 0.7 liters
4. 0.3 liters

17. #### CAT Races: Speed in a race

Amar, Akbar and Antony decide to have a 'x' m race. Antony completes the race 14 m ahead of Amar. Akbar finishes 20 m ahead of Antony and 32 m ahead of Amar. What is Amar’s speed?

1. 9/10th of Antony's speed
2. 5/8th of Akbar's speed
3. 14/15th of Antony's speed
4. 10/7th of Akbar's speed

18. #### CAT Time Speed and Distance: Distance between two points

Tom, Jerry and Bill start from point A at the same time in their cars to go to B. Tom reaches point B first and turns back and meets Jerry at a distance of 9 miles from B. When Jerry reaches B, he too turns back and meets Bill at a distance of 7 miles from B. If 3 times the speed with which Tom drives his car is equal to 5 times Bill’s speed, what could be the distance between the points A and B?

1. 40 miles
2. 24 miles
3. 31 miles
4. 63 miles

19. #### CAT Time Speed and Distance: Starting Time

Kumar started from Chennai at x hrs y minutes and travelled to Vellore. He reached Vellore at y hrs z minutes. If the total travel time was z hrs and x minutes, his starting time in Chennai could have been ______ (Assume clock format to be 0 to 24 hrs).

1. 02:08 hrs
2. 13:03 hrs
3. 00:02 hrs
4. 12:01 hrs

20. #### CAT Time Speed and Distance: Increasing speed

When Sourav increases his speed from 20 Km/hr to 25 Km/hr, he takes one hour less than the usual time to cover a certain distance. What is the distance usually covered by him?

1. 125 km
2. 100 km
3. 80 km
4. 120 km

21. #### CAT Time Speed and Distance: Increasing speed

Distance between the office and the home of Alok is 100 Km. One day, he was late by an hour than the normal time to leave for the office, so he increased his speed by 5 Km/hr and reached office at the normal time. What is the changed speed of Alok?

1. 25 Km/hr
2. 20 Km/hr
3. 16 Km/hr
4. 50 Km/hr

22. #### CAT Time Speed and Distance: Increasing speed

Akash when going slower by 15 Km/hr, reaches late by 45 hours. If he goes faster by 10 Km/hr from his original speed, he reaches early by 20 hours than the original time. Find the distance he covers.

1. 8750 Km
2. 9750 Km
3. 1000 Km
4. 3750 Km

23. #### CAT Time Speed and Distance: Increasing speed

Raj was travelling to his hometown from Mumbai. He met with a small accident 80 Km away from Mumbai and continued the remaining journey at 4/5 of his original speed and reached his hometown 1 hour and 24 minutes late. If he had met with the accident 40 Km further, he would have been an hour late.

i) What is Raj's normal speed?
A) 20 Km/hr B) 15 Km/hr C) 30 Km/hr D) 25 Km/hr
ii) What is the distance between Mumbai and Raj's hometown?
A) 140 Km B) 200 Km C) 220 Km D) 250 Km

24. #### CAT Time Speed and Distance: Distance between two points

Two persons A and B start moving at each other from point P and Q respectively which are 1400 Km apart. Speed of A is 50 Km/hr and that of B is 20 Km/hr. How far is A from Q when he meets B for the 22nd time?

1. 1000 km
2. 400 km
3. 800 km
4. 1400 km

25. #### CAT Time Speed and Distance: Distance between two points

Two persons A and B start moving from point P towards Q which are 1400 Km apart. Speed of A is 50 Km/hr and that of B is 20 Km/hr. How far is A from Q when he meets B for the 22nd time?

1. 1000 Km
2. 600 Km
3. 800 Km
4. 1400 Km

26. #### CAT Time Speed and Distance: Relative Speed

Two trains A and B are 100 m and 150 m long and are moving at one another at 54 Km/hr and 36 Km/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.

1. 10 s
2. 6 s
3. 4 s
4. 8 s

27. #### CAT Time Speed and Distance: Relative Speed

Two trains left from two stations P and Q towards station Q and station P respectively. 3 hours after they met, they were 675 Km apart. First train arrived at its destination 16 hours after their meeting and the second train arrived at its destination 25 hours after their meeting. How long did it take for the first train to make the whole trip?

1. 18h
2. 36h
3. 25h
4. 48h

28. #### CAT Time Speed and Distance: Perpendicular directions

Arjun travels from A to B, a distance of 200 Km at the speed of 40 Km/hr. At the same time, Rakesh starts from point B at a speed of 20 Km/hr along a road which is perpendicular to AB. Find the time in which Arjun & Rakesh will be closer to each other?

1. 4 hr
2. 3.33 hr
3. 5 hr
4. 8 hr

The Questions that follow, are from actual CAT papers. If you wish to take them separately or plan to solve actual CAT papers at a later point in time, It would be a good idea to stop here.

1. #### CAT 2023 Slot 3 - QA

A boat takes 2 hours to travel downstream a river from port A to port B, and 3 hours to return to port A. Another boat takes a total of 6 hours to travel from port B to port A and return to port B. If the speeds of the boats and the river are constant, then the time, in hours, taken by the slower boat to travel from port A to port B is

1. 550
2. 475
3. 500
4. 450

7. #### CAT 2020 Question Paper Slot 2 - Speed, time & distance

The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2 is double that of train 1 while traveling from A to B and their speeds are interchanged while traveling from B to C. The ratio of the time taken by train 1 to that taken by train 2 in travelling from A to C is

1. 7:5
2. 4:1
3. 1:4
4. 5:7

8. #### CAT 2020 Question Paper Slot 2 - Races

Two circular tracks T1 and T2 of radii 100 m and 20 m, respectively touch at a point A. Starting from A at the same time, Ram and Rahim are walking on track T1 and track T2 at speeds 15 km/hr and 5 km/hr respectively. The number of full rounds that Ram will make before he meets Rahim again for the first time is

1. 5
2. 3
3. 4
4. 2

9. #### CAT 2020 Question Paper Slot 2 - Speed, time & distance

A and B are two points on a straight line. Ram runs from A to B while Rahim runs from B to A. After crossing each other, Ram and Rahim reach their destinations in one minutes and four minutes, respectively. If they start at the same time, then the ratio of Ram's speed to Rahim's speed is

1. 2
2. 2√2
3. √2

23. #### CAT 2018 Question Paper Slot 2 - Speed, Time and Distance

Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. The distance, in km, between car 2 and B when car 1 reaches B is (TITA)

24. #### CAT 2018 Question Paper Slot 1 - Speed Time Distance

The distance from A to B is 60 km. Partha and Narayan start from A at the same time and move towards B. Partha takes four hours more than Narayan to reach B. Moreover, Partha reaches the mid-point of A and B two hours before Narayan reaches B. The speed of Partha, in km per hour, is

1. 6
2. 3
3. 4
4. 5

25. #### CAT 2018 Question Paper Slot 1 - Speed, Time and Distance

Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A is:[TITA]

26. #### CAT 2018 Question Paper Slot 1 - Speed Time Distance

Train T leaves station X for station Y at 3 pm. Train S, traveling at three quarters of the speed of T, leaves Y for X at 4 pm. The two trains pass each other at a station Z, where the distance between X and Z is three-ﬁfths of that between X and Y. How many hours does train T take for its journey from X to Y? [TITA]

27. #### CAT 2017 Question Paper Slot 2 - Races

In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C? [TITA]

28. #### CAT 2017 Question Paper Slot 2 - Speed Time Distance

Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance travelled by him is:

1. 55 miles
2. 60 miles
3. 65 miles
4. 70 miles

29. #### CAT 2017 Question Paper Slot 2 - Speed Time Distance

A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B?

1. 364
2. 378
3. 380
4. 388

30. #### CAT 2017 Question Paper Slot 1 - Speed Time Distance

A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station is: (TITA)

31. #### CAT 2017 Question Paper Slot 1 - Speed Time Distance

A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%. The ratio of the original speed of the motor boat to the speed of the river is:

1. √6 : √2
2. √7 : 2
3. 2√5 : 3
4. 3 : 2

The Questions that follow, are from actual XAT papers. If you wish to take them separately or plan to solve actual XAT papers at a later point in time, It would be a good idea to stop here.

1. #### XAT 2024 Question Paper QA DI

A flight, traveling to a destination 11,200 kms away, was supposed to take off at 6:30 AM. Due to bad weather, the departure of the flight got delayed by three hours. The pilot increased the average speed of the airplane by 100 km/hr from the initially planned average speed, to reduce the overall delay to one hour.

Had the pilot increased the average speed by 350 km/hr from the initially planned average speed, when would have the flight reached its destination?

1. 11:30 PM
2. 5:10 PM
3. 8:10 PM
4. 10:36 PM
5. 7:50 PM

2. #### XAT 2024 Question Paper QA DI

A group of boys is practising football in a rectangular ground. Raju and Ratan are standing at the two opposite mid-points of the two shorter sides. Raju has the ball, who passes it to Rivu, who is standing somewhere on one of the longer sides. Rivu holds the ball for 3 seconds and passes it to Ratan. Ratan holds the ball for 2 seconds and passes it back to Raju. The path of the ball from Raju to Rivu makes a right angle with the path of the ball from Rivu to Ratan. The speed of the ball, whenever passed, is always 10 metre per second, and the ball always moves on straight lines along the ground.

Consider the following two additional pieces of information:

I. The dimension of the ground is 80 metres × 50 metres.
II. The area of the triangle formed by Raju, Rivu and Ratan is 1000 square metres.

Consider the problem of computing the following: how many seconds does it take for Raju to get the ball back since he passed it to Rivu? Choose the correct option.

1. I alone is sufficient to solve the problem.
2. The problem cannot be solved even with both I and II.
3. I and II both are required to solve the problem.
4. II alone is sufficient to solve the problem.
5. Either of I or II, by itself, is sufficient to solve the problem.

3. #### XAT 2023 Question Paper QA DI

The problem below consists of a question and two statements numbered 1 & 2.
You have to decide whether the data provided in the statements are sufficient to answer the question.

Rahim is riding upstream on a boat, from point A to B, at a constant speed. The distance from A to B is 30 km. One minute after Rahim leaves from point A, a speedboat starts from point A to go to point B. It crosses Rahim’s boat after 4 minutes. If the speed of the speedboat is constant from A to B, what is Rahim’s speed in still water?
1. The speed of the speedboat in still water is 30 km/hour.
2. Rahim takes three hours to reach point B from point A.

1. Statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient
2. Statement 2 alone is sufficient to answer the question, but statement 1 alone is not sufficient
3. Each statement alone is sufficient
4. Both statements together are sufficient, but neither of them alone is sufficient
5. Statements 1 & 2 together are not sufficient

4. #### XAT 2021 Question Paper - QADI

Swati can row a boat on still water at a speed of 5 km/hr. However, on a given river, it takes her 1 hour more to row the boat 12 km upstream than downstream. One day, Swati rows the boat on this river from X to Y, which is N km upstream from X. Then she rows back to X immediately. If she takes at least 2 hours to complete this round trip, what is the minimum possible value of N?

1. 2
2. 2.1
3. 4.8
4. 3.6
5. 3

5. #### XAT 2021 Question Paper - QADI

On the bank of the pristine Tunga river, a deer and a tiger are joyfully playing with each other. The deer notices that it is 40 steps away from the tiger and starts running towards it. At the same time, the tiger starts running away from the deer. Both run on the same straight line. For every five steps the deer takes, the tiger takes six. However, the deer takes only two steps to cover the distance that the tiger covers in three. In how many steps can the deer catch the tiger?

1. 200
2. 120
3. 320
4. 360
5. To solve this, the length of a deer’s step must also be given.

6. #### XAT 2021 Question Paper - QADI

Four friends, Ashish, Brian, Chaitra, and Dorothy, decide to jog for 30 minutes inside a stadium with a circular running track that is 200 metres long. The friends run at different speeds. Ashish completes a lap exactly every 60 seconds. Likewise, Brian, Chaitra and Dorothy complete a lap exactly every 1 minute 30 seconds, 40 seconds and 1 minute 20 seconds respectively. The friends begin together at the start line exactly at 4 p.m. What is the total of the numbers of laps the friends would have completed when they next cross the start line together?

1. 47
2. 28
3. 43
4. They will never be at the start line together again before 4:30 p.m.
5. 36

7. #### XAT 2020 Question Paper - QADI

Two friends, Ram and Shyam, start at the same point, at the same time. Ram travels straight north at a speed of 10km/hr, while Shyam travels straight east at twice the speed of Ram. After 15 minutes, Shyam messages Ram that he is just passing by a large telephone tower and after another 15 minutes Ram messages Shyam that he is just passing by an old banyan tree. After some more time has elapsed, Ram and Shyam stop. They stop at the same point of time. If the straight-line distance between Ram and Shyam now is 50 km, how far is Shyam from the banyan tree (in km)? (Assume that Ram and Shyam travel on a flat surface.)

1. 20 √5+5
2. 20 √5−5
3. 5 √21
4. 45
5. 115/3

8. #### XAT 2020 Question Paper - QADI

A hare and a tortoise run between points O and P located exactly 6 km from each other on a straight line. They start together at O, go straight to P and then return to O along the same line. They run at constant speeds of 12 km/hr and 1 km/hr respectively. Since the tortoise is slower than the hare, the hare shuttles between O and P until the tortoise goes once to P and returns to O. During the run, how many times are the hare and the tortoise separated by an exact distance of 1 km from each other?

1. 40
2. 24
3. 48
4. 42
5. 22

9. #### XAT 2018 Question Paper - QADI

Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1 , he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2 , in another 30 minutes. On that day, find the ratio of V2 and his average speed
(i.e., total distance covered /total time taken including resting time).

1. 1:1
2. 1:2
3. 2:3
4. 2:1
5. None of the above

10. #### XAT 2018 Question Paper - QADI

A girl travels along a straight line, from point A to B at a constant speed, V1 meters/sec for T seconds. Next, she travels from point B to C along a straight line, at a constant speed of V2 meters/sec for another T seconds. BC makes an angle 105° with AB. If CA makes an angle 30° with BC, how much time will she take to travel back from point C to A at a constant speed of V2 meters/sec, if she travels along a straight line from C to A?

1. 0.53(√3 – 1)T
2. T
3. 0.5(√3 + 1)T
4. √3T
5. None of the above

The Questions that follow, are from actual IPMAT papers. If you wish to take them separately or plan to solve actual IPMAT papers at a later point in time, It would be a good idea to stop here.

1. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants

Study the data given below and answer the following questions. The pie charts shown below shows the distance covered by a boat moving upstream and downstream indifferent days of a week. And the table shows the speed of stream in km/hr. in different days of a week.

If the time taken by boat to travel upstream on Wednesday is $$frac{6}{7}\\$ times than the time taken to travel downstream on Monday and the speed of boat in still water on Monday is 15 kmph then find the speed of boat in still water on Wednesday?$ speed of boat in still water is different for different days)

1. 52 kmph
2. 62 kmph
3. 42 kmph
4. 48 kmph
5. None of these

2. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants

If the time taken by boat to travel upstream on Monday is 27$$frac{1}{5}\\$ hrs. more than the time taken by it to travel downstream on the same day, then find the speed of boat in still water on Monday ?$speed of boat in still water is same in upstream as in downstream)

1. 25 kmph
2. 18 kmph
3. 20 kmph
4. 15 kmph
5. None of these

3. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants

If the speed of boat in still water on Saturday was 27 km/hr and the speed of boat in still water on Wednesday was 66$$frac{2}{3}\\$% more than that of Saturday and time taken to travel upstream on Wednesday is $\frac{16}{13}\\$ times than time taken by it to travel downstream on Saturday, then find the speed of stream$in kmph) on Saturday?

1. 2
2. 4
3. 9
4. 8
5. None of these

The speed of boat in still water on Saturday was 21 km/hr. and that on Sunday was 28$$frac{4}{7}\\$% more than that on Saturday, if the time taken by boat to travel upstream on Saturday is 2$\frac{1}{2}\\$ times the time taken to travel downstream on Sunday, then find the time taken by the boat to cover a distance of 125 km upstream on Saturday? 1. 6 hrs 45 min 2. 2 hrs 45 min 3. 4 hrs 30 min 4. 6 hrs 15 min 5. None of these 5. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants If the time taken by boat to travel upstream on Friday is 30 hours more than the time taken by it to travel downstream on Wednesday and the speed of boat in still water on Friday is 17 kmph, then find the upstream speed of boat on Wednesday?$speed of boat in still water is different on different days)

1. 27 kmph
2. 22 kmph
3. 20 kmph
4. 25 kmph
5. None of these

6. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants

Train A takes 45 minutes more than train B to travel 450 km. Due to engine trouble, speed of train B falls by a quarter. So it takes 30 minutes more than Train A to complete the same journey. Find the speed of Train A.

1. 120 km/hr
2. 110 km/hr
3. 100 km/hr
4. 90 km/hr

7. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

1. 40 minutes
2. 1 hour
3. 1 hr 15 min
4. 1 hr 30 min

8. #### IPMAT 2020 Question Paper - IPM Rohtak Quants

Guru and Chela walk around a circular path of 115 km in circumference, they start together from the same point. If they walk at speed of 4 and 5 kmph respectively, also they walk in the same direction, when will they meet?

1. After 115 hours
2. After 125 hours
3. After 120 hours
4. After 210 hours

9. #### IPMAT 2020 Question Paper - IPM Indore Quants

Two friends run a 3-kilometer race along a circular course of length 300 meters. If their speeds are in the ratio 3:2, the number of times the winner passes the other is __________.

10. #### IPMAT 2019 Question Paper - IPM Indore Quants

Two small insects, which are x metres apart, take u minutes to pass each other when they are flying towards each other, and v minutes to meet each other when they are flying in the same direction. Then, the ratio of the speed of the slower insect to that of the faster insect is

1. $$frac{u}{v}\\$ 2. $\frac{u}{v-u}\\$ 3. $\frac{v-u}{v+u}\\$ 4. $\frac{u}{v+u}\\$ ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Preparation Online | CAT Arithmetic Videos On YouTube #### Other useful sources for Arithmetic Question | Time Speed Distance and Races Sample Questions ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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