a man can row 9 1 3 kmph in still water and..., Problems On Boats & Streams, General Mathematics

Question:A man can row `9 1/3` kmph in still water and finds that it takes him thrice as much time to row up than as to row down the same distance of in the river. The speed of the current is :

A `3 1/3 km∕hr` 
B `3 1/9 km∕hr` 
C `4 2/3 km∕hr` 
D `14 km∕hr`

/14

+ AnswerC

+ ExplanationLet speed upstream be x kmph 

Then, speed downstream`= 3x kmph`

:. Speed in still water 

`= 1/2 (3x + x) kmph`

`= 2x kmph`

`:. 2x = 28/3 ⇒ x = 14/3`

:. speed upstream`= 14/3 km/hr,` Speed downstream`= 14 km∕hr`

:. Speed of the current`= 1/2 (14 - 14/3) km/hr`

`= 14/3 km∕hr`

`= 4 2/3 km∕hr`

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