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It takes the input pipe 10 hours to fill an empty tank to its full capacity, and it takes the output pipe 7 hours to pour the water out from full capacity to empty. The tank is full now and the input pipe and output pipe are both open for 1 hour, then shut the input pipe, and keep the output open, how many hours will the tank be empty after shutting the input pipe?

Give your answer as a decimal.

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