Question

A streamer goes downstream from one port to another in 6 hours. It covers the same distance

upstream in 7 hours. If the speed of the stream is 2km/hr, find the speed of the stream in still

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Answer 1

Answer:

let x be the speed of streamer

then in downstream total speed is x+2

and upstream total speed x-2

the (x+2)×6=(x-2)×7

then 6x+12=7x-14

then 7x-6x=12+14

then x=26

the speed of streamer is 26km/hr

Answer 2

Question :-

• A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream is 2km/hr, find the speed of the steamer in still water.

Answer

Speed of the stream = 2 km/hr.

Let speed of the steamer in still water = 'x' km/hr.

So, speed of upstream = Speed of steamer - Speed of stream

$\bf\implies \:speed \: of \: upstream = (x - 2) \: km/hr$

And, speed of downstream = Speed of steamer + Speed of stream

$\bf\implies \:speed \: of \: downstream = (x + 2)km/hr$

Time taken to cover distance in downstream = 6 hours.

⇛ Distance covered in downstream = 6 × (x + 2) km

Time taken to cover distance in upstream = 7 hours.

⇛ Distance covered in upstream = 7 × (x - 2) km

According to statement,

Distance covered in upstream = Distance covered in downstream

$\bf\implies \:7(x - 2) = 6(x + 2)$

$\bf\implies \:7x - 14 = 6x + 12$

$\bf\implies \:7x - 6x = 14 + 12$

$\bf\implies \:x = 26km/hr$

$\bf\implies \:Speed \: of \: steamer = 26 \: km/hr$

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Additional Information

❥︎Stream – The moving water in a river is called stream.

❥︎Upstream – If the boat is flowing in the opposite direction to the stream, it is called upstream. In this case, the net speed of the boat is called the upstream speed. 

❥︎Downstream – If the boat is flowing along the direction of the stream, it is called downstream.