SOLUTION: A painter can do a given job in 6 hours. Her helper can do the same job in 10 hours. The painter begins to work and after 2 hours is joined by her helper.In how many hours will the

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Question 1121498: A painter can do a given job in 6 hours. Her helper can do the same job in 10 hours. The painter begins to work and after 2 hours is joined by her helper.In how many hours will they complete the job?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Painter rate, 1%2F6

Painter plus helper, rate 1%2F6%2B1%2F10



ONE job to be done.
Painter, for 2 hours.
Painter with helper, for x hours.

%281%2F6%29%2A2%2B%281%2F6%2B1%2F10%29%2Ax=1------simplify and solve.

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1%2F3%2Bx%2F6%2Bx%2F10=1, note that LCD is 30.
30%281%2F3%2Bx%2F6%2Bx%2F10%29=30%2A1
10%2B5x%2B3x=30
8x=20
x=20%2F8
x=5%2F2
highlight%28x=2.5%29
Two and a half hours