CAT Quantitative Aptitude Questions | CAT Time Speed and Distance & Races

CAT Questions | Speed Time | Time and distance

The question is from the topic time and distance. Speed is decreaed due to an accident and it takes extra time, what could be the distance and actual speed. Time Speed and Distance is a favorite in CAT Exam, and appears more often than expected in the CAT Quantitative Aptitude section in the CAT Exam

Question 23 : 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


Rs. 2500 off on 2IIM Ultimate DI LR Course for CAT 2019. Offer valid till March 24th.


Signup to sample the Best CAT Online Coaching



Best CAT Coaching in Chennai


Starts Sat, Mar 23, 2019


Explanatory Answer

Method of solving this CAT Question from Time Speed Distance: Create a visual for the route he travels

Scenario 1:

Speed Time Distance: CAT time and distance Question Circular Races

\\frac{5D1}{4s}\\) − \\frac{D1}{s}\\) = 1 + \\frac{24}{60}\\) (always write minutes in this form if the unit is Km/hr)
=> \\frac{D1}{s}\\) = \\frac{7}{5}\\) * 4 = \\frac{28}{5}\\) hours

Scenario 2:

Speed Time Distance: CAT time and distance Question Circular Races

\\frac{5D2}{4s}\\) − \\frac{D2}{s}\\) = 1
=> \\frac{D2}{s}\\) = 4 hours
i) Therefore, in his normal speed, he can travel 40 Km in \\frac{28}{5}\\) - 4 = \\frac{8}{5}\\) hours so,
s = \\frac{40}{8/5}\\) = 25 Km/hr.
ii) \\frac{D1}{s}\\) = \\frac{28}{5}\\) => D1 = 140 Km. Therefore, total distance D = 140 + 80 = 220 Km.

The question is "i) What is Raj's normal speed? and ii) What is the distance between Mumbai and Raj's hometown? "

Hence, the answer is 25 Km/hr and 220 Km.

Choice i) D & ii) C is the correct answer.

 

Online CAT Coaching
Try it free!

Register in 2 easy steps and start learning in 30 seconds!

★ Sign up for Free

Already have an Account?

★ Login to Continue

CAT Coaching in Chennai

Next Weekend Batch Starts Sat, Mar 23rd, 2019

★ CAT Coaching Info

Best CAT Coaching in Chennai

Sign up for a Free Demo of our CAT Coaching in Chennai

★ Schedule Demo


CAT Preparation Online | CAT Arithmetic Videos On YouTube


Other useful sources for Arithmetic Question | Time Speed Distance and Races Sample Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com