Working together at their respective constant rates, machines A and B filled an empty pool in 5 hours. Working together at their respective constant rates, machines A and C filled the same pool in 8 hours. Working together at their respective constant rates, machines B and C filled the same pool in 10 hours. How many hours would it take machines A, B, and C, working together but independently, to fill the pool?

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Working together at their respective constant rates, machines A and B filled an empty pool in 5 hours. Working together at their respective constant rates, machines A and C filled the same pool in 8 hours. Working together at their respective constant rates, machines B and C filled the same pool in 10 hours. How many hours would it take machines A, B, and C, working together but independently, to fill the pool?