A boat covers a distance 24 km upstream and returns to the same point in a total of 4 hours. If the speed of boat in downstream is twice its speed in upstream, then the speed of boat in upstream is: |
3 km/h 6 km/h 9 km/h 18 km/h |
9 km/h |
The correct answer is Option (3) → 9 km/h Let speed of boat in upstream = $x$ km/h. Then speed of boat in downstream = $2x$ km/h. Time taken upstream = $\frac{24}{x}$ Time taken downstream = $\frac{24}{2x} = \frac{12}{x}$ Total time = $\frac{24}{x} + \frac{12}{x} = \frac{36}{x}$ Given total time = 4 hours $\frac{36}{x} = 4$ $x = \frac{36}{4} = 9$ Therefore, speed of boat in upstream = $9 \, \text{km/h}$ |