# SOLUTION: A and B can paint a certain house if A works 6 days and B works 12 days, or they can paint the house if A works 9 days and B works 8 days. How long would it take each working alone

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: A and B can paint a certain house if A works 6 days and B works 12 days, or they can paint the house if A works 9 days and B works 8 days. How long would it take each working alone      Log On

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 Question 634533: A and B can paint a certain house if A works 6 days and B works 12 days, or they can paint the house if A works 9 days and B works 8 days. How long would it take each working alone to paint the house?Answer by richwmiller(9135)   (Show Source): You can put this solution on YOUR website!12x+6y=1; 8x+9y=1 x = 1/20, y = 1/15 so x can do the job in 20 days and y in 15 days if they worked alone.