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Arada [10]
3 years ago
5

A streamer goes downstream from point A to B in 9hrs .from B to A ,upstream it takes 10h .if the speed is 1km/hr , what will be

the speed of the streamer in still water ? also find distance between the point A to B
Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer:

The distance  between the point A to B 180 kilometres.

The streamer speed in still water is 19 kmph

Step-by-step explanation:

Let be the distance between the ports (in kilometres) be d

let  the streamer speed in still water be s

Then speed equation for moving downstream

\frac{d}{9} =  s + 1------------------------(1)

The speed equation for moving upstream

\frac{d}{10} =  s - 1-------------------------(2)

On solving (1) and (2)

\frac{d}{9} -\frac{d}{10} =  2

\frac{10d -9d}{90} = 2

\frac{d}{90} = 2

d = 90 \times 2

d =  180

Thus the distance  between the point A to B 180 kilometres.

Now from equation 1

\frac{180}{9} =  s + 1

20 = s + 1

20 -1 = s

19 = s

The streamer speed in still water is 19 kmph

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