A motor boat can travel at 12 km/hr in still water. It travelled 63 km downstream in river and then returned back taking altogether 24 hours. The speed of the water current in the river is: |
12 km/hr 9 km/hr 6 km/hr 10 km/hr |
9 km/hr |
$\text{Speed in still water}=12.$ $\text{Let speed of current}=v.$ $\text{Downstream speed}=12+v.$ $\text{Upstream speed}=12-v.$ $\frac{63}{12+v}+\frac{63}{12-v}=24.$ $\frac{63(12-v)+63(12+v)}{144-v^2}=24.$ $\frac{63(24)}{144-v^2}=24.$ $1512=24(144-v^2).$ $1512=3456-24v^2.$ $24v^2=1944.$ $v^2=81.$ $v=9.$ $\text{Speed of water current}=9\text{ km/hr}.$ |