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Question

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?

A
2 : 1
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B
3 : 2
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C
8 : 3
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D
Cannot be determined
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E
None of these
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Solution

The correct option is C 8 : 3
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×845)=(y×4)
444x=4y
y=115x
Required ratio =(y+x2):(yx2)
=(16x5×12):(6x5×12)
=85:35
=8:3

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