SOLUTION: A garden hose can fill a backyard pond in 2 hours, while a drain can empty it in 3 hours. How long will it take to fill the pond if the hose is on and the drain is open?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A garden hose can fill a backyard pond in 2 hours, while a drain can empty it in 3 hours. How long will it take to fill the pond if the hose is on and the drain is open?      Log On

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Question 204261: A garden hose can fill a backyard pond in 2 hours, while a drain can empty it in 3 hours. How long will it take to fill the pond if the hose is on and the drain is open?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Try this:
If the hose can fill the pond in 2 hours, then it can fill 1/2 the pond in 1 hour.
If the drain can empty the pond in 3 hours, then it can empty 1/3 of the pond in 1 hour.
Together, the hose and drain can fill: 1%2F2-1%2F3+=+1%2F6 of the pond in 1 hour.
Therefore, it will take 6 hours to fill the pond.