Question 117

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is

Solution

Let speed of boat in still water = $$x$$ km/h

and speed of stream = $$y$$ km/h

=> Upstream speed of boat = $$(x-y)$$ km/h

Downstream speed = $$(x+y)$$ km/h

Acc to ques :

=> $$\frac{24}{x-y} + \frac{28}{x+y} = 6$$

and $$\frac{30}{x-y} + \frac{21}{x+y} = 6\frac{1}{2}$$

Solving above equations, we get :

$$x$$ = 10 km/h and $$y$$ = 4 km/h

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