SOLUTION: joe can paint all the rooms of a house in 20 hours it takes ross 60 hours to do the same thing. How long would it iake them if they worked together?

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Question 121005: joe can paint all the rooms of a house in 20 hours it takes ross 60 hours to do the same thing. How long would it iake them if they worked together?
Answer by ptaylor(2198)   (Show Source): You can put this solution on YOUR website!
Let x=amount of time it takes them to paint a house working together
In 20 hrs, Joe can paint 1 house so Joe paints at the rate of 1/20 house per hour
Ross paints at the rate of 1/60 house per hour
Together, they can paint at the rate of 1/20+1/60 house per hour or:
1/20+1/60=3/60+1/60=4/60=1/15 house per hour
So our equation to solve is:
(1/15)x=1 (house) multiply each side by 15
x=15 hours
Hope this helps---ptaylor

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