Question : A boat goes 75 km upstream in 3 hours and 60 km downstream in 1.5 hours. The speed of the boat in still water is:
Option 1: 32.5 km/h
Option 2: 30 km/h
Option 3: 65 km/h
Option 4: 60 km/h
Correct Answer: 32.5 km/h
Solution :
Upstream speed of boat = $\frac{75}{3} = 25$ km/h
Downstream speed of boat = $\frac{60}{1.5} = 40$ km/h
So, speed of boat in still water =$\frac{1}{2}$(Upstream speed + Downstream speed)
$=\frac{25+40}{2} = 32.5$ km/h
Hence, the correct answer is 32.5 km/h.
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