Two trains start at the same time from A and B and proceed

Two trains start at the same time from 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 was found to have travelled 175 km more than the other. Find the distance between A and B.

Let the trains meet after t hours.
Distance = Speed × Time
According to the question,
75t – 50t = 175
⇒ 25t = 175

⇒ t =	175	= 7 hours
	25

∴ Distance between A and B
= 75t + 50t = 125t
= 125 × 7 = 875 km.
Second Method :
Here, a = 75, b = 50, d = 175

Required distance =		a + b		× d
		a − b

=		75 + 50		× 175
		75 − 50

=	125	× 175
	25

= 125 × 7 = 875 km