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
$\Rightarrow (S p e e d o f s t e a m e r i n u p s t r e a m \times T i m e t a k e n u p s t r e a m = (S p e e d o f s t e a m e r d o w n s t r e a m) \times T i m e t a k e n d o w n s t r e a m [∵ d i s t a n c e = s p e e d \times t i m e] \Rightarrow (x - 1) \times 6 = (x + 1) \times 5 \Rightarrow 6 x - 6 = 5 x + 5 \Rightarrow 6 x - 5 x = 6 + 5 ∴ x = 11$
Therefore, the speed of steamer in still water is 11 km/h.

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Solve the following:

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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.

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.