Multiple choice

The length of train A is 144 m and that of train B is 156 m. Both the trains start their journey from two different stations and move towards each other on parallel tracks. The average speed of train A is 46 kmph while that of train B is 44 kmph. Calculate the time duration in which they pass each other after the point where they meet first.

  1. 10 sec

  2. 12 sec

  3. 14 sec

  4. 16 sec

  5. 18 sec
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = 46 + 44 = 90 kmph = 90 * (5/18) = 25 m/s. Total distance to cover = 144 + 156 = 300 m. Time = 300 / 25 = 12 seconds.

AI explanation

The question asks for the time duration in which they pass each other after the point where they meet first, which is the time needed for the two trains to completely cross each other from the moment their engines align. The relative speed of train A and train B is 46 kmph plus 44 kmph, which equals 90 kmph, or 25 m/s. The total distance to be covered for the engines to align at the opposite end after meeting is the sum of their lengths, 144 m plus 156 m, giving 300 m. Using the formula time equals distance divided by speed, the time is 300 m divided by 25 m/s, which equals 12 seconds.

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