SOLUTION: It takes Victor 6 days more to paint a house than Roger. If they work together, they can finish the same job in 4 days. How long will it take Victor to finish the job alone?

Question 1044243: It takes Victor 6 days more to paint a house than Roger. If they work together, they can finish the same job in 4 days. How long will it take Victor to finish the job alone?
Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let x be how long it take Roger to paint the house, then
:
1/(x+6) + 1/x = 1/4
:
multiply both sides of = by common denominator (x+6)*4*x
:
4x + 4(x+6) = x(x+6)
:
4x + 4x+24 = x^2 + 6x
:
x^2 -2x -24 = 0
:
(x-6) * (x+4) = 0
:
x = 6 or -4
:
****************************************
it takes Roger 6 days to paint the house
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:

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
On joint work problems see the lessons
    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Using quadratic equations to solve word problems on joint work,
    - Selected joint-work word problems from the archive
in this site.

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