Multiple choice

Two trains travel in opposite directions at $36$ km/hr and $45$ km/hr respectively. A man sitting in the slower train passes the faster train in $8$ s. The length of the faster train is

  1. $80$ m
  2. $120$ m
  3. $150$ m
  4. $180$ m
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D Correct answer
Explanation

Relative speed = 36 + 45 = 81 km/hr. Convert to m/s: 81 * (5/18) = 22.5 m/s. Length of the train = Relative speed * time = 22.5 * 8 = 180 m.

AI explanation

The relative speed of the two trains moving in opposite directions is 36 + 45 = 81 km/hr, which converts to 81 * (5/18) = 22.5 m/s. Since the man is in the slower train, the relative distance covered is simply the length of the faster train. Using the distance formula, the length of the faster train is 22.5 * 8 = 180 m.

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