Discussion :: Boats and Streams
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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?
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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