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Question

Rohit can row downstream 32 km in 4 hours and 4km upstream in an hour. Find his speed of rowing in still water and speed of the current.


A

6 km/hr, 2 km/hr

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B

4 km/hr, 4 km/hr

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C

20 km/hr, 4 km/hr

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D

4 km/hr, 2 km/hr

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Solution

The correct option is A

6 km/hr, 2 km/hr


Let speed of Rohit rowing in still water be x km/hr
and speed of current be y km/hr.

Then, Speed downstream = (x + y) km/hr
Speed upstream = (x - y) km/hr
We know that,
Time=DistanceSpeed

4=32x+y and 1=4xy

x+y=8 (1)
xy=4 (2)
On adding (1) and (2), we get
2x=12
x=6
On substituiting x=6 in (1), we get
6+y=8
y=2
The rowing speed in still water is 6 km/hr and the speed of current is 2 km/hr.


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