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An inlet pipe can fill a tank in 7 hours, while an outlet pipe can empty the full tank in 8 hours. If both pipes are opened together on an empty tank, how long will it take to fill?

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An inlet pipe can fill a tank in 7 hours, while an outlet pipe can empty the full tank in 8 hours. If both pipes are opened together on an empty tank, how long will it take to fill?
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