Question

A streamer goes downstream and covers a distance between 2 ports in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream is 2km/hr , find the speed of the streamer in still water.

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Answer 1

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A streamer goes downstream and covers the distance between two ports in 4 hours while it cover the same distance upstream in 5 hours if the speed of the stream bee 2 km per hour find the speed of the steamer in still water

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Answers

namanpitliya

namanpitliya Virtuoso

Let the distance between the two ports be x km.

Then, speed downstream = x/4

And speed upstream = x/5

Speed of the stream,

= [speed downstream - speed upstream] / 2

= (x/4 - x/5)/2

Or, (5x -4x)/40 = 2

Or, x/40 = 2

Thus, x = 80 km.

Distance between two ports = 80 km.

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Siddharta7

Siddharta7 Genius

Let the steamer speed will be x.

Downstream speed = (x+2)

Distance between the points = 4(x+2) ---------- (1)

Upstream speed = (x-2)

Distance between the points = 5(x-2) ------------ (2)

On solving (1) and (2), we get

4(x+2) = 5(x - 2)

4x + 8 = 5x - 10

x = 18

speed of the steamer in still water = 18 km/hr

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