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A boat takes 11 hours to cover distance of 180 KM downstream while in H20,still takes 8 hrs.find time taken to cover a distance of 72km upstream?

Apr 16

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Apr 16

Let the speed of the boat in still water be x km/hr and the speed of the stream be y km/hr.

Downstream speed = (x + y) km/hr

Upstream speed = (x - y) km/hr

Given that the boat takes 11 hours to cover 180 km downstream:

180 = 11(x + y)

x + y = 180/11

Given that the boat takes 8 hours to cover 180 km downstream:

180 = 8(x - y)

x - y = 180/8

Solving the above two equations, we get:

x = 25 km/hr

y = 5 km/hr

Now, to find the time taken to cover a distance of 72 km upstream:

72 = t(25 - 5)

72 = 20t

t = 72/20

t = 3.6 hours

Therefore, it will take 3.6 hours to cover a distance of 72 km upstream.

Downstream speed = (x + y) km/hr

Upstream speed = (x - y) km/hr

Given that the boat takes 11 hours to cover 180 km downstream:

180 = 11(x + y)

x + y = 180/11

Given that the boat takes 8 hours to cover 180 km downstream:

180 = 8(x - y)

x - y = 180/8

Solving the above two equations, we get:

x = 25 km/hr

y = 5 km/hr

Now, to find the time taken to cover a distance of 72 km upstream:

72 = t(25 - 5)

72 = 20t

t = 72/20

t = 3.6 hours

Therefore, it will take 3.6 hours to cover a distance of 72 km upstream.