Question 38

A boatman goes 2 km upstream in 1 hour and 1 km downstream in 10 minutes. What is the speed of boat in still water?

Solution

$$\frac{2}{x-y}$$ = 1 ---(1)

$$\frac{1}{x+y}$$ = $$\frac{10}{60}$$ ---(2)

from eqn (1) ,x - y = 2 or x=y+2

from eqn (2) , x + y = 6

                     y + 2 +y = 6

                     y = 2 km/hr

speed of boat in still water  

x = y +2 = 4km/hr


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