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Question

# Question 107 Solve the following A steamer goes downstream and covers the distance between two ports in 5 hours, while it covers the same distance upstream in 6 hours. If the speed of the stream is 1km/h, then find the speed of the steamer in still water.

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Solution

## Given, speed of stream=1km/h Let speed of the steamer in still water be x km/h. Then, speed of steamer downstream=(x+1) km/h and speed of steamer upstream=(x-1) km/h According to the question, Distance covered upstream = Distance covered downstream ⇒(Speed of steamer in upstream×Time taken upstream =(Speed of steamer downstream)×Time taken downstream[∵distance=speed×time]⇒(x−1)×6=(x+1)×5⇒6x−6=5x+5⇒6x−5x=6+5∴x=11 Therefore, the speed of steamer in still water is 11 km/h.

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