Question

Two trains start at the same time from P and Q and proceed towards Q and P respectively. P having a speed 25 km/hr and Q having a speed 75 km/hr. When they meet, it is found that one train has moved 120 km more than the other, What is the distance between P and Q ? 

1. 120 km
2. 240 km
3. 300 km
4. 400 km
5. 150 km

Answer 1

Correct Answer - Option 2 : 240 km

Formula Used :

 speed = distance/time

Let the two trains meet at R , according to the question, the train with higher speed moves 120 km more than the train having less speed.

Let the distance traveled by train P having less speed be x km and the distance traveled by the train Q having more speed be (120 + x) km

They will take same time to reach R in order to meet each other ,

(Time)_P = (Time)_Q

⇒ x/25 = (x + 120)/75

⇒ 3x = x + 120             

⇒ x = 60 km

Distance between P and Q is = x + x + 120 = 60 + 60 + 120 = 240 km