Multiple choice

A 320 m long train is moving at an average speed of 120 km/h and crosses a platform in 24 seconds. A man crossed the same platform in 4 minutes. The speed of the man in m/sec is

  1. 2.0

  2. 2.4

  3. 1.6

  4. 1.5
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A Correct answer
Explanation

Train speed = 120 km/h = 120 * (5/18) = 100/3 m/s. Distance = Speed * Time = (100/3) * 24 = 800 meters. Train length = 320 m, so platform length = 800 - 320 = 480 meters. Man crosses 480 meters in 4 minutes (240 seconds). Man's speed = 480 / 240 = 2.0 m/s.

AI explanation

When a train crosses a platform, the total distance is the length of the train plus the length of the platform, so write 320 plus L equals 120 kmph converted to 33.33 m/s multiplied by 24 seconds. This simplifies to 320 plus L equals 800, meaning the platform is 480 m long. Since the man takes 4 minutes or 240 seconds to cross this platform, his speed is 480 m divided by 240 seconds, which equals 2.0 m/sec.

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