Multiple choice

A train of length 100m crosses a pole in 12 seconds and platform in 72 seconds. Find the length of the platform in meters.

  1. 500

  2. 540

  3. 600

  4. 800

  5. None of these
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A Correct answer
Explanation

Speed = Distance / Time. Train length = 100m. Crossing a pole (distance = 100m) in 12s, speed = 100/12 = 25/3 m/s. Crossing a platform (distance = 100 + L) in 72s, speed = (100+L)/72. So (100+L)/72 = 25/3. 100+L = 25 * 24 = 600. L = 500m.

AI explanation

First find the speed of the train by dividing its length by the time it takes to cross a pole, yielding 100 m divided by 12 seconds, which equals 25/3 m/s. When crossing the platform, the total distance is the train's length plus the platform's length, so write 100 plus L equals 25/3 multiplied by 72. This simplifies to 100 plus L equals 600, making the length of the platform 500.

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