Question

A and B are two stations 900 km apart. Train X starts from station A towards station B at 146 km/h. After 1.5 hours, train Y starts from station B towards station A. If they meet at a point 243 km from station B, find the speed of Train Y.

1. 99 km/h
2. 72 km/h
3. 81 km/h
4. 54 km/h

Answer 1

Correct Answer - Option 3 : 81 km/h

Let V be the average speed of the train Y.

Distance covered by train X before meeting with train B = 900 – 243 = 657 km

According to question, 657/146 = 243/V + 1.5

⇒ 9/2 = 243/V + 3/2

⇒ 243/V = 3

⇒ V = 243/3 = 81 km/h