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?
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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
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Let be the volume of the pool.
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Filling rate:
1.
Draining rate:
2.
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Filling while the drain is open for 6 hrs:
Find .
Substituting from eq. 1 and eq. 2,
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. still needs to be added
Find that time, now the drain has been closed. hrs
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Total time:
