Question 52

A man can row downstream a distance of 9 km in 2 hours and takes 6 hours while returning to the starting point. What is the speed (in km/h) of the stream?

Solution

Let speed of boat = $$x$$ km/hr and speed of stream = $$y$$ km/hr

Downstream speed = $$(x+y)$$ km/hr and upstream speed = $$(x-y)$$ km/hr

According to ques, => $$x+y=\frac{9}{2}=4.5$$ -------------(i)

and $$x-y=\frac{9}{6}=1.5$$ -------------(ii)

Subtracting equation (ii) from (i), we get :

=> $$2y=3$$

=> $$y=1.5$$

$$\therefore$$ Speed of stream = 1.5 km/hr

=> Ans - (C)

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