Multiple choice

Train A crosses a man standing on a platform in 10 seconds, while Train B crosses the same man in 15 seconds .If the length of Train A is 120 meters and the length of Train B is 150 meters, then how much time (approximately) will both trains take to completely cross each other when they are moving in opposite directions?

  1. 6 seconds

  2. 8 seconds

  3. 10 seconds

  4. 12 seconds

  5. 15 seconds
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Speed A = 120/10 = 12 m/s. Speed B = 150/15 = 10 m/s. Relative speed (opposite directions) = 12 + 10 = 22 m/s. Total distance = 120 + 150 = 270 m. Time = 270 / 22 = 12.27 seconds. Approximately 12 seconds.

AI explanation

First, determine the speed of each train using the formula speed = distance / time. The speed of train A is 120 / 10 = 12 meters per second, and the speed of train B is 150 / 15 = 10 meters per second. When moving in opposite directions, their relative speed is the sum of their speeds, which is 12 + 10 = 22 meters per second. The total distance to cross each other is the sum of their lengths, 120 + 150 = 270 meters. The time taken to completely cross each other is 270 / 22, which is approximately 12 seconds.

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