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.

- 10 s
- 6 s
- 4 s
- 8 s

6 s

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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. "**

Choice B is the correct answer.

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