SOLUTION: An inlet pipe on a swimming pool can be used to fill the pool in
6 hours. The drain pipe can be used to empty the pool in
12 hours. If the pool is
14 filled and then the inlet p
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: An inlet pipe on a swimming pool can be used to fill the pool in
6 hours. The drain pipe can be used to empty the pool in
12 hours. If the pool is
14 filled and then the inlet p
Log On
Question 965451: An inlet pipe on a swimming pool can be used to fill the pool in
6 hours. The drain pipe can be used to empty the pool in
12 hours. If the pool is
14 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool? Found 2 solutions by macston, josgarithmetic:Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
The inlet fills 1 pool /6 hours=(1/6) pool/hr
.
The drain empties -1 pool /12 hours=-(1/12) pool/hour
.
Net change with both open=+(1/6) pool/hr-(1/12) pool/hr=+(1/12) pool/hr
With both open. the pool fills at a rate of 1/12 pool/hr.
.
If the pool is 1/4 (3/12) full, that leaves ((1)-(3/12)=9/12) 9/12 pool to fill, at a rate of 1/12 pool/hr it will take 9 hours.
ANSWER: With both pipes open, it takes 9 hours to fill 3/4 of the pool.
(