Question : A boatman rows 15 km in 15 minutes, along the stream and 10 km in 1 hour against the stream. Find the speed of the boat in still water.
Option 1: 33 km/hr
Option 2: 35 km/hr
Option 3: 26 km/hr
Option 4: 40 km/hr
Correct Answer: 35 km/hr
Solution :
Given: The boatman rows 15 km in 15 minutes along the stream.
Downstream speed = $\frac{15}{15}\times60$ = 60 km/hr
Again, the boatman rows 10 km in 1 hour against the stream.
Upstream speed = $\frac{10}{1}$ = 10 km/hr
We know that,
Speed of the boat in still water = $\frac{1}{2} (60 + 10)$ = 35 km/hr
Hence, the correct answer is 35 km/hr.
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