. A streamer 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 1 km/h, find the speed of the streamer in still water and the distance between two ports.

Explanation

Speed of the stream in still water =1km/h

Let speed of the streamer =x km/h

Then the speed of downstream =(x+1)km/h

And the speed of upstream =(x−1)km/h

So, we have,

5(x+1)=6(x-1)

5x+5=6x-6

5+6=6x-5x

x=11

Distance between two ports =Speed downstream Time taken to cover the distance between two points

=(11+1)×5

=60 km

Final Answer

The speed of the streamer in still water is 11km\h and the distance between two ports is 60km.

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