SOLUTION: An inlet pipe on a swimming pool can be used to fill the pool in 20 hours. The drain pipe can be used to empty the pool in 21 hours. If the pool is 1/3 filled and then the inlet pi

Algebra ->  Rate-of-work-word-problems -> SOLUTION: An inlet pipe on a swimming pool can be used to fill the pool in 20 hours. The drain pipe can be used to empty the pool in 21 hours. If the pool is 1/3 filled and then the inlet pi      Log On


   



Question 1000750: An inlet pipe on a swimming pool can be used to fill the pool in 20 hours. The drain pipe can be used to empty the pool in 21 hours. If the pool is 1/3 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 addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
In 1 hour the pool fills 1/20
In 1 hour the pool empties 1/21
1/20-1/21= 1/3T Multiply all sides by 420 (20*21, it's the common denominator)
21-20= 140/T
1= 140/T Invert both terms:
1/1= T/140 Multiply both sides times 140:
140= T You need 140 hours