Multiple choice

Two trains are travelling in opposite directions with speeds of 25 m/s and 30 m/s, respectively. If the length of one train is 300 m and that of the other train is 250 m, then find the time taken by the trains to cross each other.

  1. 8 s

  2. 10 s

  3. 12 s

  4. 14 s
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B Correct answer
Explanation

Relative speed = 25 + 30 = 55 m/s. Total distance = 300 + 250 = 550 m. Time = Distance / Speed = 550 / 55 = 10 seconds.

AI explanation

Because the trains are traveling in opposite directions, their relative speed is the sum of their speeds: 25 m/s + 30 m/s = 55 m/s. The total distance required to cross each other is the sum of their lengths: 300 m + 250 m = 550 m. The time taken is the total distance divided by the relative speed: 550 m divided by 55 m/s equals 10 seconds. The time taken by the trains to cross each other is 10 seconds.

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