Question

a steamer going downstream in a river cover the distance between two towns in 15 hours coming back of a steamer it cover this distance in 24 hours the speed of water in a kilometre find the distance between two towns
and prove it.​

Answer 1

Step-by-step explanation:

Let the speed of the stream be x km/h.

Given, speed of water =3 km/h

Therefore, downstream speed =(x+3) km/h

and upstream speed =(x−3) km/h

Again, time taken in downstream and upstream is 15 hours and 20 hours respectively.

Now, distance downstream = distance upstream

⇒15(x+3)=20(x−3)

⇒15x+45=20x−60

⇒15x−20x=−60−45

⇒−5x=−105 or x=21 km/h

Therefore, downstream speed =21+3=24 km/h

So, distance between the two towns = Downstream speed × Time taken in downstream

=24×15=360 km

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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