Question

A streamer going downstream in river cover the distance between the two towns in 15 hours come back upstream covers this distance in 20 hours the speed of water is 3 kilometre per hour find the distance between two town

Answer 1

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Let the distance between two towns be= x

Speed of water = 3km/hr

Distance covered by the streamer in Downstream=x+3

Time taken to cover the distance in Downstream =15hr

Distance covered by the streamer in upstream=x-3

Time taken to cover the distance in upstream =20hr

Distance covered by the streamer in Downstream = Distance covered by the streamer in Upstream.

15(x+3) = 20(x-3)
15x+45 = 20x-60
20x-15x = - 60-45
5x = 105
x=105/5
x=21

So,the distance between two towns is 21km.

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Answer 2

Let the distance between two towns be= x

Speed of water = 3km/hr

Distance covered by the streamer in Downstream=x+3

Time taken to cover the distance in Downstream =15hr

Distance covered by the streamer in upstream=x-3

Time taken to cover the distance in upstream =20hr

Distance covered by the streamer in Downstream = Distance covered by the streamer in Upstream.

15(x+3) = 20(x-3)

15x+45 = 20x-60

20x-15x = - 60-45

5x = 105

x=105/5

x=21

So,the distance between two towns is 21km...........

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.Hopefully