Question

A steamer goes downstream from one port to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of the stream be 1km/h, what is the speed of the steamer in still water?
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Answer 1

Answer:

19 km/h

Step-by-step explanation:

Let speed of the steamer in still water be x km/h and speed of the stream be y km/h.

Distance = Speed * Time

Distance traveled by the steamer upstream = 10 (x-y)

Distance traveled by the steamer downstream = 9 (x+y)

As the distance traveled is same

∴ 10 (x-y) = 9 (x+y)

Speed of the stream is 1 km/h

⇒ 10 (x-1) = 9 (x+1)

⇒ 10x - 10 = 9x + 9

⇒ x = 19

Hence, speed of steamer in still water is 19 km/h.

Answer 2

Step-by-step explanation:

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