Three tributaries

It is possible to fill the pool with three tributaries. The first would take 12 hours, the second 15 hours, and the third 20 hours. The day before the summer season began, the manager opened all three tributaries simultaneously. How long did it take to fill the pool?

Correct answer:

t =  5 h

Step-by-step explanation:

t •( 1/12+1/15+1/20) = 1

12t = 60

t = 5

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