SOLUTION: it takes one painter 10 hr longer to paint a house than it does a more experienced painter. Together they can paint the house in 26 hr. How long does it take for each painter to pa

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Question 1162987: it takes one painter 10 hr longer to paint a house than it does a more experienced painter. Together they can paint the house in 26 hr. How long does it take for each painter to paint the house working alone?
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Experienced painter, x hours
Less experienced painter, x+10 hours

1%2Fx%2B1%2F%28x%2B10%29=1%2F26
Simplify and solve.
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START BY MULTIPLYING BOTH SIDES BY THE COMMON DENOMINATOR OF 26x%28x%2B10%29.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
it takes one painter 10 hr longer to paint a house than it does a more experienced painter. Together they can paint the house in 26 hr. How long does it take for each painter to paint the house working alone?
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x*(x+10)/(2x+10) = 26
x^2 + 10x = 52x + 260
x^2 - 42x - 260 = 0
Solve for x, etc