SOLUTION: A swimming pool has two inlet pipes. One fills the pool in three hours and the other in 6 hours. The outlet pipe empties the pool in 4 hours. Once the outlet pipe was left open w
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Question 746611: A swimming pool has two inlet pipes. One fills the pool in three hours and the other in 6 hours. The outlet pipe empties the pool in 4 hours. Once the outlet pipe was left open when the pool was being filled, in how many hours was the pool full?
Please help. I am trying to help my son with his homework.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add the rates of filling of the 2 filling pipes and
subtract the rate of draining of the emptying pipe
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1st pipe's rate: ( 1 pool filled ) / ( 3 hrs )
2nd pipe's rate: ( 1 pool filled ) / ( 6 hrs )
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3rd pipe's rate of emptying: ( 1 pool emptied ) / ( 4 hrs )
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Let = the time in hrs to fill the pool with all 3 pipes open
Multiply both sides by
It will take 4 hrs to fill the pool with all 3 pipes open
check:
Add to both sides
OK
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