Multiple choice

Two trains of length 120m and 80m are running in the same direction with speed of 40 kmph and 50 kmph respectively. Find the time taken by one train to cross the other?

  1. a) 60 sec

  2. b) 72 sec

  3. c) 75 sec

  4. d) 80 sec

  5. e) 65 sec
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find the time taken for one train to cross the other when running in the same direction, we first calculate the relative speed, which is 50 - 40 = 10 kmph. Converting this to meters per second gives 10 * 5/18 = 25/9 m/s. The total distance to be covered is the sum of the lengths of the two trains, 120 + 80 = 200 m, so the time taken is 200 / (25/9) = 72 seconds.

AI explanation

For two trains moving in the same direction, their relative speed is the difference between their speeds: 50 kmph - 40 kmph = 10 kmph. Converting this relative speed to meters per second gives 10 multiplied by 5/18, which equals 25/9 m/s. The total distance needed to cross is the sum of their lengths: 120 m + 80 m = 200 m. The time taken is the distance divided by the relative speed: 200 divided by 25/9 equals 72 seconds. The time taken is 72 seconds.

Keep practicing — related questions