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Q.
A motorboat 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 motorboat and speed of the water current respectively?
A.
3:7
B.
7:9
C.
5:4
D.
8:3
View Answer
Correct choice: D
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 hrs. x x 8 54 = (y x 4) 44 x =4y 5 y = 115x. Required ratio = ( y + x) :( y - x) 2 2 = (16x x 1) : ( 6x x 1 ) 5 2 5 2 = 8 : 3 5 5 = 8 : 3.
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