Multiple choice general knowledge math & puzzles

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

  1. 120

  2. 240

  3. 300

  4. None of these
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B Correct answer
Explanation

Train speed = 54 km/hr = 15 m/s. In 20 seconds (passing man), train length = 15 * 20 = 300 m. In 36 seconds (passing platform), distance covered = 15 * 36 = 540 m. Platform length = 540 - 300 = 240 m.

AI explanation

At 54 km/hr = 15 m/s, the train covers its own length in the 20 seconds it takes to pass a stationary man, so the train's length is 15 x 20 = 300 m. Passing the platform takes 36 seconds, covering the train's length plus the platform's length: 15 x 36 = 540 m total, so the platform length is 540 - 300 = 240 m.

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