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Question

A man can row 5 kph in still water. If the river is running at 1 kph,it takes 75 min to go to a place and come back. How far is the place?


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Solution

Let the total distance be xkm

Speed of the man in the river =5km

and, speed of the river =1km

So, Upstream Speed =speedofman-speedofriver

=5-1=4km

Downstream Speed =speedofman+speedofriver

=5+1=6km

Time taken while going upstream is distancespeed=x4h

and, Time taken while going downstream is distancespeed=x6h

Since, the total time is 75 min =7560h=54h

Therefore,

x4+x6=543x+2x12=545x12=545x=12×55×4x=3

Hence, the distance of the place is 3km.


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