2009 AMC 8 Problems/Problem 6

Problem 6

Steve's empty swimming pool will hold $24,000$ gallons of water when full. It will be filled by $4$ hoses, each of which supplies $2.5$ gallons of water per minute. How many hours will it take to fill Steve's pool?

$\textbf{(A)}\  40  \qquad \textbf{(B)}\   42  \qquad \textbf{(C)}\  44   \qquad \textbf{(D)}\  46   \qquad \textbf{(E)}\   48$

Solution

Each of the four hoses hose fills $24,000/4 = 6,000$ gallons of water. At the rate it goes at it will take $6,000/2.5 = 2400$ minutes, or $\boxed{\textbf{(A)}\ 40}$ hours.

Video Solution

https://youtu.be/USVVURBLaAc?t=288

See Also

2009 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
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All AJHSME/AMC 8 Problems and Solutions

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