Ram starts his journey from Bombay to Pune and simultaneously

Ram starts his journey from Bombay to Pune and simultaneously Mohan starts from Pune to Bombay. After crossing each other they finish their remaining
journey in 6 1 and 4 hours respectively.
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What is Mohan’s speed if Ram’s speed is 20 km per hr. ?

Suppose that Ram and Mohan meet at A. Let Ram’s speed be x km per hr. and Mohan’s speed be y km per hr.

Then AP =	25	x km
	x

and AB = 4y km.
Now, time taken by Ram in going from

B to A =	4y
	x

and the time taken by Mohan in going from

P to A =	25x	.
	4y

Obviously time taken is equal

∴	4y	=	25x
	x		4y

⇒ 16y² = 25x²

⇒	y²	=	25
	x²		16

⇒	y	=	5
	x		4

⇒ y =	5	x
	4

Here, x = 20 km per hr.
∴ y = Mohan’s speed

=	5	× 20 = 25 km per hr.
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journey in 6	1	and 4 hours respectively.
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