Multiple choice

Train A is 600 meters long and runs at a speed of 80 km/h. How much time will it take to pass a man sitting in another train that is 400 meters long and running at 64 km/h in the opposite direction?

  1. 10 sec

  2. 12 sec

  3. 15 sec

  4. 18 sec

  5. 21 sec
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed = 80 + 64 = 144 km/hr = 144 * (5/18) = 40 m/s. The length of the train to pass is 600m. Time = 600 / 40 = 15 seconds.

AI explanation

To pass a man in a train moving in the opposite direction, we use the relative speed formula by adding the speeds of the two trains: 80 km/h plus 64 km/h equals 144 km/h. Converting this relative speed to meters per second gives 144 multiplied by 5 divided by 18, which equals 40 m/s. The time to pass the man is the length of the first train divided by this relative speed, yielding 600 m divided by 40 m/s equals 15 seconds.

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