Two trains start at the same time from Aligarh and Delhi

Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between two stations is

Let the trains meet each other after t hours.
Distance = Speed × Time
According to the question,
21t – 14t = 70

⇒ 7t = 70 ⇒ t =	70	= 10 hours
	7

∴ Required distance
= 21t + 14t = 35t
= 35 × 10 = 350 km.
Second Method :
Here, a = 21, b = 14, d = 70

Required distance =		a + b		× d
		a − b

=		21 + 14		× 70
		21 − 14

=	35	× 70 = 350 km.
	7