Two trains start from P and Q, respectively, at the same time and run towards each other at a speed of 40 km/h and 30 km/h, respectively. By the time they meet, the first train has covered 80 km more than the other train. Find the distance between P and Q.

Correct option is C

Given:

Speed of Train 1 (from P) = 40 km/h

Speed of Train 2 (from Q) = 30 km/h

Train 1 covers 80 km more than Train 2 when they meet.

Formula used:

​$$Speed= \frac{Distance}{Time}$$​​

Solution:

Let the time taken to meat be '$$t$$' hours

Distance covered by Train 1 = 40$$t$$​

Distance covered by Train 2 = 30$$t$$ 

The condition gives:

$$40t = 30t + 80$$ 

​$$40t-30t=80\\$$ 

$$10t=80$$ 

$$t=8$$ 

Total Distance (D) =( Distance covered by Train 1 + Distance covered by Train 2)

D = $$40t+30t=70t$$ (Where $$t=8$$)

D = $$70\times 8=560$$ km

Thus the correct answer is (C)

​