Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.
Let the speed of rowing in still water be x km/hr and the speed of the current be y km/hr
Speed upstream $=(x-y) k n / h r$
Speed downstream $=(x+y) \mathrm{km} / \mathrm{hr}$
Now,
Time taken to cover $20 \mathrm{~km}$ down stream $=\frac{20}{x+y} h r s$
Time taken to cover $4 \mathrm{~km}$ upstream $=\frac{4}{x-y} h r s$
But, time taken to cover $20 \mathrm{~km}$ downstream in 2 hours
$\frac{20}{x+y}=2$
$20=2(x+y)$
$20=2 x+2 y \cdots(i)$
By solving these equation (i) and (ii) we get
Substitute $x=6$ in equation (i)we get
$2 x+2 y=20$
$12+2 y=20$
$2 y=20-12$
$2 y=8$
$y=\frac{8}{2}$
$y=4$
Hence, the speed of rowing in still water is $6 \mathrm{~km} / \mathrm{hr}$.
The speed of current is $4 \mathrm{~km} / \mathrm{hr} .4 \mathrm{~km} / \mathrm{hr}$