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Question

A boat takes 2 hours to travel 8km and back in still water lake with water velocity of 4km/h, then the time taken for going upstream of 8km and coming back is

A
120 min
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B
160 min
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C
200 min
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D
None of these
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Solution

The correct option is C 160 min
The velocity of boat in still water is vb=8+82=8km/h
Now when velocity of water is given as vr=4km/h
Time taken for downstream is td=8vb+vr=812=23h
Time taken for upstream is tu=8vbvr=84=2 h
So total time taken t=td+tu=2+23=83 h
t=60×83 min=160 min

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