Multiple choice

Two trains A and B start simultaneously towards each other from two cities stations. After crossing each other, trains take 16 and 9 hours more respectively to reach their destinations. If the speed of first train is 90 km/hr, find the speed of second train.

  1. 100 km/hr

  2. 120 km/hr

  3. 90 km/hr

  4. cannot be determined

  5. None of these

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

After crossing, if trains take t1 and t2 hours to reach destinations, speed ratio is √t2 : √t1. Here t1 = 16, t2 = 9. So v1 : v2 = √9 : √16 = 3 : 4. Given v1 = 90 km/hr, then v2 = (4/3) × 90 = 120 km/hr.