Ram can row a boat in still water at the rate of 6 km/hr. He finds that it takes him twice as long to row upstream of a river as to row downstream of the same river, then the speed of the current of the river is |
5 km/hr 4 km/hr 3 km/hr 2 km/hr |
2 km/hr |
The correct answer is Option (4) → 2 km/hr ** Let speed of current = $v$ km/hr. Speed upstream = $6 - v$ Speed downstream = $6 + v$ Given: Time upstream = 2 × Time downstream Since time = $\frac{d}{\text{speed}}$ and distance is same: $\frac{1}{6 - v} = 2 \cdot \frac{1}{6 + v}$ Cross-multiply: $6 + v = 2(6 - v)$ $6 + v = 12 - 2v$ $3v = 6$ $v = 2$ The speed of the current is 2 km/hr. |