A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

Question

Accepted Answer

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

⟹	❨	x x 8	4	❩	= (y x 4)
			5

⟹	44	x =4y
	5

⟹ y =	11	x.
	5

∴ Required ratio =	❨	y + x	❩	:	❨	y - x	❩
		2				2

=	❨	16x	x	1	❩	:	❨	6x	x	1	❩
		5		2				5		2

=	8	:	3
	5		5

= 8 : 3.

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

More Questions from Boats and Streams

Discussion & Comments