Multiple choice

Two trains A and B start at the same time from Delhi and Mumbai respectively towards each other. They met after 16 hours. If the distance between Delhi and Mumbai is 1872 km and train A runs 27 km/h faster than train B, what is the speed of train B?

  1. 45 km/h

  2. 48 km/h

  3. 58 km/h

  4. 64 km/h

  5. 72 km/h

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let train B's speed be s km/h, so train A's speed is s + 27 km/h. Relative speed (when moving towards each other) = s + (s + 27) = 2s + 27 km/h. Distance covered when they meet = 1872 km in 16 hours, so relative speed = 1872/16 = 117 km/h. Therefore: 2s + 27 = 117, giving 2s = 90 and s = 45 km/h. Train B's speed is 45 km/h.