SOLUTION: A swimming pool can be filled in 12 hours, and requires 18 hours to drain. If the drain was accidentally left open for 12 hours while the pool was being filled. How long did it tak

Question 351547: A swimming pool can be filled in 12 hours, and requires 18 hours to drain. If the drain was accidentally left open for 12 hours while the pool was being filled. How long did it take to fill the pool?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Rate*Time=Output
.
.
.
Let be the volume of the pool.
.
.
.
Filling rate:
1.
Draining rate:
2.
.
.
.
Filling while the drain is open for 12 hrs:
Find .
Substituting from eq. 1 and eq. 2,

.
.
.
still needs to be added
Find that time, now the drain has been closed.

hrs
.
.
.
Total time:
hrs
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