SOLUTION: It takes one painter 20 hours longer to paint a house than it does a more experienced painter. Together they can paint a house in 24 hours. How long does it take each painter to pa

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Question 633181: It takes one painter 20 hours longer to paint a house than it does a more experienced painter. Together they can paint a house in 24 hours. How long does it take each painter to paint the house working alone?
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
24/(x+20)+24/x=1
x=40 and x+20=60
check
24/40+24/60=1
3/5+2/5=1
ok
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the time it takes the more experienced painter
to paint the house
= time for less experienced painter
---------
Add their rates of painting to get rate working together

Multiply both sides by





Complete the square





40 hrs = the time it takes the more experienced painter
to paint the house
60 hrs = time for less experienced painter
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