SOLUTION: How do I set up this question? A large drain and a small drain are opened to drain a pool. The large drain can empty the pool in 6 hours. After both drains have been open 1 hour t

Question 301078: How do I set up this question?
A large drain and a small drain are opened to drain a pool. The large drain can empty the pool in 6 hours. After both drains have been open 1 hour the large drain becomes clogged and is closed. The small drain remains open and requires 9 hours to empty the pool. How long would it have taken for the small drain working alone to empty the pool?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A large drain and a small drain are opened to drain a pool.
The large drain can empty the pool in 6 hours.
After both drains have been open 1 hour the large drain becomes clogged and is closed.
The small drain remains open and requires 9 hours to empty the pool.
How long would it have taken for the small drain working alone to empty the pool?
:
Let x = time for small drain alone
:
Let the completed job (a drained pool) = 1
:
Assume the small drain has been open for a total of 10 hrs
+ = 1
multiply equation by 6x:
x + 10(6) = 6x
60 = 6x - x
5x = 60
x =
x = 12 hrs, small drain alone

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