A motor boat can travel at 10km/hr in still water. it travelled 91km downstream in a river and then returned, taking altogether 20 hours. find the rate of flow of water.
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Given, speed of boat = 10 km/h
Let speed of flow of river = x km/h
Upstream speed of boat = (10 - x) km/h
and downstream speed of boat
According to question,
= (10 + x) km/h
91/10−x+91/10+x=20
91(10+x+10−x)/(10−x)(10+x)=20
91(20)/100−x^2=x^2−9
x = 3
Let speed of flow of river = x km/h
Upstream speed of boat = (10 - x) km/h
and downstream speed of boat
According to question,
= (10 + x) km/h
91/10−x+91/10+x=20
91(10+x+10−x)/(10−x)(10+x)=20
91(20)/100−x^2=x^2−9
x = 3
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