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) About Me  (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