SOLUTION: A swimming pool can be filled with three different hoses. The first hose takes 4 hours to fill the pool. The second hose takes 12 hours to fill the pool and the third hose takes 3

Question 420113: A swimming pool can be filled with three different hoses. The first hose takes 4 hours to fill the pool. The second hose takes 12 hours to fill the pool and the third hose takes 3 hours to fill the pool. How long would it take if all three hoses were used at the same time?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Filling the tank is one job
One pipe fills in 4 hours
It does 1/ 4 of the job in 1 hours
other pipe 12 hours
It does 1/12 of thejob in 1 hours
third hose takes 3 hours
It does 1/3 of the job in 1 hour

Together they will do 1/4 + 1/12 + 1/3
Together they will do 2/ 3 of the job in one hour
So they will take 1 1/2 hours
So they will take 1.5 hours

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