SOLUTION: A hose can fill a pool in 6 hours. A second hose can fill the same pool in 4 hours. How long will it take to fill the pool if both hoses are used at the same time?

Question 607700: A hose can fill a pool in 6 hours. A second hose can fill the same pool in 4 hours. How long will it take to fill the pool if both hoses are used at the same time?
Answer by chippewapride(1) (Show Source): You can put this solution on YOUR website!
1st hose can fill a pool in 6 hours. Equation= 1/6 because it can finish 1/6 of the work in 1 hour.
2nd hose can fill a pool in 4 hours. Equation=1/4 because it can finish 1/4 of the work in 1 hour.
When the work together: equation: 1/6 + 1/4 = 1/t
They can finish 1/t of the time when they work together.
Now solve for t.
Find Lowest Common Denominator (LCD) : 24t
1/6 times 24t= 4t
1/4 times 24t= 6t
1/t times 24t= 24
Now solve.
4t+6t=24
10t=24
t=24/10
t=144/60 (60 because total minutes per hour
t= 2 hours (120 minutes) and 24 minutes
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