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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/hrLet the speed of the steamer in still water be x km/h.Then, the speed downstream =(x+2) km/hand the speed upstream =(x−2) km/hGiven, distance covered in 4 hours downstream = distance covered in 5 hours upstream∴4(x+2)=5(x−2)⇒4x+8=5x−10⟹4x−5x=−10−8[Transposing 5x to LHS and 8 to RHS]⟹−x=−18 or x=18km/h

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