Question : A boat travels 32 km downstream in 4 hours and 24 km upstream in 6 hours. What is the speed (in km/hr) of a boat in still water?
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
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Correct Answer: 6
Solution : Let $x$ km/hr be the speed of the boat in still water and $y$ km/hr be the speed of the current. The speed of the boat downstream = $(x+y)$ km/hr The speed of the boat in upstream = $(x–y)$ km/hr The distance travelled upstream = $24$ km A boat travels 32 km downstream in 4 hours and 24 km upstream in 6 hours. $\text{Speed}=\frac{\text{Distance}}{{\text{Time}}}$ $6(x-y)=24⇒x-y=4$ $4(x+y)=32⇒x+y=8$ Solving the above equations, we get, $2x=12⇒x=6$ km/hr Hence, the correct answer is 6.
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