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Question

A steamer goes downstream and covers the distance between two ports in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/h, find the speed of the steamer in still water.

A
12 km/hr
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B
31 km/hr
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C
18 km/hr
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D
15 km/hr
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Solution

The correct option is C 18 km/hr
Let the speed of the steamer in still water be x km/h.
Then, the speed downstream =(x+2) km/h
and the speed upstream =(x2) km/h
Given, distance covered in 4 hours downstream = distance covered in 5 hours upstream
4(x+2)=5(x2)
4x+8=5x10
4x5x=108
[Transposing 5x to LHS and 8 to RHS]

x=18 or x=18km/h

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