Multiple choice

Two trains start at the same time from stations A and D and proceed towards each other at speeds 36 kmph and 42 kmph, respectively. When they meet, it is found that one train has travelled 48 km more than the other. The distance (in km) between the two stations is

  1. 624

  2. 636

  3. 544

  4. 560
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let time be t. Distance1 = 36t, Distance2 = 42t. Difference = 6t = 48 km, so t = 8 hours. Total distance = (36+42) * 8 = 78 * 8 = 624 km.

AI explanation

The difference in the speeds of the two trains is 42 kmph minus 36 kmph, which equals 6 kmph. Since they travelled for the same amount of time, the 48 km difference in distance is due to this speed difference, meaning they travelled for 8 hours before meeting. The sum of their speeds is 78 kmph, so the total distance between the two stations is 78 kmph multiplied by 8 hours, which equals 624 km.

Keep practicing — related questions