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

###### CAT Questions | Speed Time | Relative Speed

The question is from the topic of Relative Speed. This is a classic CAT level question testing your understanding in the concept of relative speed from Time Speed and Distance. 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 26: 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

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### Explanatory Answer

##### Method of solving this CAT Question from Time Speed Distance: Finding the relative speed of the trains will give head start.

Speed of A = 54 * $$frac{1000}{60*60}\\$ = 15 m/s Speed of B = 36 * $\frac{1000}{60*60}\\$ = 10 m/s Relative speed = S1 + S2 = 15 + 10 m/s = 25 m/s The length that needs to be crossed = length of train B = 150 m. Therefore time taken = $\frac{150}{25}\\$ = 6s What is the time taken for trains to completely cross each other? The length that needs to be crossed = 100 + 150 = 250 m. Time taken = $\frac{250}{25}\\$ = 10 s The question is " Calculate the time taken by Arun to completely cross Train B. " ##### Hence, the answer is 6 s. Choice B is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- 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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