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To find how long it takes for the pipe to fill the pool with the drain open, you need to calculate the combined rate of the pipe and drain, resulting in the pipe filling the pool in 12 hours.
To find the time it takes for the pipe to fill the pool with the drain open, you need to consider the combined rate of the pipe and drain. The pipe's rate of filling the pool is 1/6 of the pool per hour, while the drain's rate of emptying the pool is 1/12 of the pool per hour.
When both are open, their rates are subtracted: 1/6 - 1/12 = 1/12. This means the equivalent rate of the combined system is filling 1/12 of the pool per hour.
Therefore, the pipe will fill the pool in 12 hours when the drain is left open.
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