POTW76 Solution

Answer to POTW76 is 1 more hour.

In the first hour the two pipes fill \frac{1}{3} + \frac{1}{4} = \frac{7}{12} of the pool per hour.
After the drain was opened, the pool is filled at \frac{7}{12} - \frac{1}{6} = \frac{5}{12} of the pool per hour.
So it takes one more hour to fill the pool.

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