SOLUTION: An inlet pipe on a swimming pool can be used to fill the pool in 23 hours. The drain pipe can be used to empty the pool in 24 hours. If the pool is 1/4 filled and then the inlet pi
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Question 279509: An inlet pipe on a swimming pool can be used to fill the pool in 23 hours. The drain pipe can be used to empty the pool in 24 hours. If the pool is 1/4 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
An inlet pipe on a swimming pool can be used to fill the pool in 23 hours. The drain pipe can be used to empty the pool in 24 hours. If the pool is 1/4 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?
the inlet does 1/23 of the job in 1 hour
the drainpipe does 1/24 job in 1 hour
Effectively if both are open then 1/23 - 1/24 job is done in 1 hour
1/ 23*24 job will be done in 1 hour
the pool is 1/4 full so 3/4 empty. So to complete 3/4 of the job it will take
(3/4) / (1/ 23*24)
= 414 hours
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