Multiple choice

A train of length 200 m travelling at 30 m/sec overtakes another of length 300 m travelling at 20 m/sec. The time taken by the first train to pass the second is

  1. 40 sec

  2. 30 sec

  3. 20 sec

  4. 50 sec
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D Correct answer
Explanation

Relative speed = 30 - 20 = 10 m/s. Total distance to cover = 200 + 300 = 500 m. Time = 500 / 10 = 50 seconds.

AI explanation

Use the relative speed formula for two objects moving in the same direction by subtracting the slower speed from the faster speed, giving 30 m/sec minus 20 m/sec equals 10 m/sec. The total distance to be covered is the sum of both trains lengths, 200 m plus 300 m equals 500 m. Divide 500 m by the relative speed of 10 m/sec to get 50 seconds. The time taken by the first train to pass the second is 50 sec.

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