# 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

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### Explanatory Answer

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

Scenario 1:

$$frac{5D1}{4s}\\$ − $\frac{D1}{s}\\$ = 1 + $\frac{24}{60}\\$$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: $\frac{5D2}{4s}\\$ − $\frac{D2}{s}\\$ = 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. ###### Signup and sample 9 full classes for free The Best Online CAT Coaching Courses. Signup ! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 44,000/- Next Weekend Batch Starts Sun, March 1st 2020 ###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off Attend a Demo Class ## 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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