Boats and Streams - Arithmetic Aptitude Questions and Answers

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Discussion :: Boats and Streams

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?

2 : 1

3 : 2

8 : 3

Cannot be determined

None of these

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Answer : Option C

Explanation :

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 hr

[XX8 $\frac { 4 } { 5 }$ ]=(y x 4)

y= $\frac { 44} {5 } X=4Y$

z= $[\frac { 16X } { 5 } *$ $\frac { 1 } { 2 }$ ]:[ $[\frac { 6X } { 5 } *$ $\frac { 1 } { 2 }$ ]

Required ratio =[ $[ \frac { Y+X } { 2 } ]$ : $[ \frac { Y-X} { 2 } ]$

= $\frac { 8} { 5}$ : $\frac { 3} { 5}$

= 8 : 3

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