SOLUTION: How do I solve this? Can you show me the work as well? I am lost. Thank you. Working together, an experienced painter and an apprentice can paint the entire house in 12 hours. W

Question 860083: How do I solve this? Can you show me the work as well? I am lost. Thank you.
Working together, an experienced painter and an apprentice can paint the entire house in 12 hours. Working alone, it takes the apprentice painter to paint the entire house 5 hours longer than the experienced painter to do the job. How long would it take for the apprentice painter to paint the entire house alone?

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The rate of the painter and his apprentice working simultaneously is the sum of their individual rates.

Painter, 1/u jobs per hour
Apprentice, 1/(u+5) jobs per hour
Painter + Apprentice, 1/12 jobs per hour
The variable, u, is assigned as the time for the painter to paint the one house.

.
That was the analysis leading to the equation.

Solve the the single variable equation for u. Use it to compute u+5.
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