Multiple choice

Two trains of equal length are travelling in the same direction with speeds of 36 kmph and 54 kmph. The faster train overtakes the slower one in 60 seconds. What is the length of each train?

  1. 200 m

  2. 150 m

  3. 100 m

  4. 160 m

  5. 180 m
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B Correct answer
Explanation

Relative speed = 54 - 36 = 18 kmph = 5 m/s. Distance covered = 2 * length of train = 5 m/s * 60 s = 300 m. Length of each train = 300 / 2 = 150 m.

AI explanation

First, find the relative speed of the two trains by subtracting 36 kmph from 54 kmph to get 18 kmph, which converts to 5 m/s. The formula for two trains crossing in the same direction is the sum of their lengths divided by the relative speed, so the sum of the lengths is 5 m/s multiplied by 60 seconds, yielding 300 meters. Because the trains are of equal length, divide 300 meters by 2. The result is 150 m.

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