Two trains start at the same time A and B and proceed toward each other at the speed of 75 km/hr and 50 km/hr respectively. When both meet at a point in between one train found to be travelled 175 km more than the other. Find the distance between A and B.

Speed of train A = 75 km/hr and speed of train B = 50 km/hr

Let distance travelled by train B = $$d$$ km

=> Distance travelled by train A = $$(d+175)$$ km

Time taken by both the trains is equal as they start at the same time.

Using, time = distance/speed

=> $$\frac{d+175}{75}=\frac{d}{50}$$

=> $$\frac{d+175}{3}=\frac{d}{2}$$

=> $$2d+350=3d$$

=> $$3d-2d=d=350$$

$$\therefore$$ Distance between A and B = $$d+(d+175)=2d+175$$

= $$2(350)+175=700+175=875$$ km

=> Ans - (D)