A water tank can be filled in 6 hours when the input valve is open and the outlet valve is closed. When the input valve is closed and the outlet valve is open, the same tank can be emptied in 10 hours. If a tank is filled with both valves open, how long, in hours, will it take to fill the tank?

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A water tank can be filled in 6 hours when the input valve is open and the outlet valve is closed. When the input valve is closed and the outlet valve is open, the same tank can be emptied in 10 hours. If a tank is filled with both valves open, how long, in hours, will it take to fill the tank?