A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

35
36 2 3
37 1 2
40

Correct Answer: 40

Explanation:

Let distance = x km and usual rate = y kmph.

Then,	x	-	x	=	40	⟹ 2y(y + 3) = 9x ....(i)
	y		y + 3		60

And,	x	-	x	=	40	⟹ y(y - 2) = 3x ....(ii)
	y -2		y		60

On dividing (i) by (ii), we get: x = 40.

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