Asked by Lamont

An inlet pipe on a swimming pool can be used to fill the pool in 24 hours. The drain pipe can be used to empty the pool in 40 hours. If the pool is one-third filled and then the drain pipe is accidentally opened, how long will it take to fill the pool?

Answers

Answered by Henry
If the pool was empty it would take:
1/T = 1/24 - 1/40,
LCM = 120.
1/T = 5/120 - 3/120 = 2/120 = 1/60.
T = 60h if tank was empty.

T = (2/3) * 60 = 40h.

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