SOLUTION: An inlet pipe on a swimming pool can be used to fill the pool in 32 hours. The drain pipe can be used to empty the pool in 33 hours. If the pool is 2/3 filled and then the inlet pi

Question 798501: An inlet pipe on a swimming pool can be used to fill the pool in 32 hours. The drain pipe can be used to empty the pool in 33 hours. If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
The job to be done is "fill the pool". The filling rate is and the emptying rate is like the opposite of a fill rate, in this problem, .

The rate of fill with both pipes open at the same time is pool per hour. POSITIVE, because this situation FILLS the pool, although very slowly.

The amount of pool to be filled is , because it is already 2/3 filled.
Let h = time in hours to fill this 1/3 of the pool.

Find h.
RELATED QUESTIONS
an inlet pipe on a swimming pool can be used to fill a pool in 32 hours. The drain pipe... (answered by solver91311,lwsshak3)

An inlet pipe on a swimming pool can be used to fill the pool in 32 hours. The drain... (answered by Alan3354)

An inlet pipe on a swimming pool can be used to fill a pool in 36 hours. The drain pipe... (answered by josgarithmetic)

An inlet pipe on a swimming pool can be used to fill the pool in 23 hours. The drain pipe (answered by mananth)

an inlet pipe on a swimming pool can be used to fill the pool in 10 hours. The drain pipe (answered by mananth)

An inlet pipe on a swimming pool can be used to fill the pool in 25 hours. the drain pipe (answered by stanbon)

An inlet pipe on a swimming pool can be used to fill the pool in 16 hours. The drain pipe (answered by josgarithmetic,MathTherapy)

An inlet pipe on a swimming pool can be used to fill the pool in 38 hours. The drain pipe (answered by josgarithmetic)

An inlet pipe on a swimming pool can be used to fill the pool in 36 hours. The drain pipe (answered by josmiceli)