Multiple choice

Two trains are moving in opposite directions at speeds of 43 km/h and 51 km/h, respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length of the slower train?

  1. 235 m

  2. 338.4 m

  3. 470 m

  4. 940 m

  5. None of these
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A Correct answer
Explanation

Relative speed = 43 + 51 = 94 km/h = 94 * (5/18) m/s = 26.11 m/s. Length = speed * time = 26.11 * 9 = 235 m.

AI explanation

The relative speed of the two trains moving in opposite directions is the sum of their speeds, which is 43 km/h plus 51 km/h, resulting in 94 km/h. Converting this to m/s by multiplying by 5/18 yields 235/9 m/s. The distance covered at this relative speed in 9 seconds is the length of the slower train, so we multiply 235/9 by 9 to get 235 m. The length of the slower train is 235 m.

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