SOLUTION: an inlet on a pool can be used to fill a pool in 34 hours. the drain pipe can be used to empty to empty a pool in 36 hours. If a pool was 1/3 full and the inlet and outlet are open

Algebra ->  Rate-of-work-word-problems -> SOLUTION: an inlet on a pool can be used to fill a pool in 34 hours. the drain pipe can be used to empty to empty a pool in 36 hours. If a pool was 1/3 full and the inlet and outlet are open      Log On


   



Question 302709: an inlet on a pool can be used to fill a pool in 34 hours. the drain pipe can be used to empty to empty a pool in 36 hours. If a pool was 1/3 full and the inlet and outlet are opened, how long will it take to fill the pool?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
an inlet on a pool can be used to fill a pool in 34 hours.
the drain pipe can be used to empty to empty a pool in 36 hours.
If a pool was 1/3 full and the inlet and outlet are opened, how long will it take to fill the pool?
:
Let t = time required to fill the pool under these conditions
:
Let the full pool = 1
:
The equation to fill the remaining 2/3 of the pool
:
t%2F34 - t%2F36 = 2%2F3
multiply by 1224 (36*34) to clear the denominators
36t - 34t = 408(2)
2t = 816
t = 408 hrs to fill the pool