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An inlet pipe can fill a tank in 11 hours, while an outlet pipe can empty the full tank in 12 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 11 hours, while an outlet pipe can empty the full tank in 12 hours. If both pipes are opened together on an empty tank, how long will it take to fill?
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