Question

a boat covers a distance of 45 km upstream in a river in 9 hours and covers a distance of 56 km going downstream in 4 hrs. Find the speed of the boat in still water and the speed of the water​

Answer 1

Step-by-step explanation:

Upstream means, move in a direction opposite to flow of river and Downstream means, move in the direction of flow of river.

Let the velocity of boat with respect to river=Vb

velocity of river with respect to ground = Vr

In upstream,

Net velocity=Vb-Vr

Total distance=45km

Total time=9 hours

Vb-Vr=45÷9 =5....................................Equation-1

In downstream,

Net velocity=Vb+Vr

Total distance=56km

Total time=4 hours

Vb+Vr=56÷4=14....................................Equation -2

From Equation 1 and 2

Vb= (14+5)÷2=19/2 km/h

Vr=(14-5)÷2=9/2 km/h

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