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Question

The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hrs 30 min. The speed of the stream is:

A
5 km / hr
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B
8 km/ hr
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C
10 km/hr
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D
15 km/hr
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Solution

The correct option is A 5 km / hr
Let the speed of the stream be x.
Hence, speed of the boat in upstream be 15x and in down stream be 15+x.
Hence, 3015x+3015+x=412
30(15x+15+x225x2)=92
20(30225x2)=3
600=6753x2
x2=25
x=±5
Hence, speed of the stream is 5 km/hr.

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