Question 16

A boatman rows downstream a distance of 30 km in 6 hours and up stream a distance of 24 km in 6 hours. The ratio of speed of boat in still water and speed of current is

Solution

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

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

Now, $$\frac{30}{x + y} = 6$$

=> $$x + y = 5$$

and $$\frac{24}{x - y} = 6$$

=> $$x - y = 4$$

Solving above equations, we get :

$$x = \frac{9}{2}$$ and $$y = \frac{1}{2}$$

=> $$x : y = 9 : 1$$

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