Multiple choice

A train, 120-metre long, travels at 60 km per hour. A man is running at 6 km per hour in the same direction in which the train is moving. The train will cross the man in

  1. 6 sec

  2. 7 sec

  3. 62/3 sec

  4. 8 sec
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D Correct answer
Explanation

Relative speed = 60 - 6 = 54 km/hr = 54 * (5/18) = 15 m/s. Time = Distance / Relative speed = 120 / 15 = 8 seconds.

AI explanation

Since the man is running in the same direction as the train, we use relative speed by subtracting his speed from the train's speed, giving 60 km per hour minus 6 km per hour, which equals 54 km per hour or 15 m/s. The train covers a distance equal to its own length to pass the man. Using the formula time equals distance divided by speed, we divide 120 m by 15 m/s to get 8 seconds.

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