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A swimming pool can be filled using either a pipe, a hose, or both. Using the pipe alone takes 12 hours. Using both it takes 8\(\frac{4}{7}\) hours. How long does it take using the hose alone?

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konrad509

\(\dfrac{1}{x}+\dfrac{1}{12}=\dfrac{1}{8\dfrac{4}{7}}\\ \dfrac{1}{x}=\dfrac{1}{\dfrac{60}{7}}-\dfrac{1}{12}\\ \dfrac{1}{x}=\dfrac{7}{60}-\dfrac{1}{12}\\ \dfrac{1}{x}=\dfrac{7}{60}-\dfrac{5}{60}\\ \dfrac{1}{x}=\dfrac{2}{60}\\ \dfrac{1}{x}=\dfrac{1}{30}\\ x=30\)

30 hrs

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