SOLUTION: A pool takes 6 hours to fill and 9 hours to drain. If the drain is left off for 6 hours while the pool is being filled, how long did filling the pool take?

Question 350666: A pool takes 6 hours to fill and 9 hours to drain. If the drain is left off for 6 hours while the pool is being filled, how long did filling the pool take?
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 6 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:

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