SOLUTION: Jean paints the house in 10 hours, Micheal does is in 12 hours. Jean starts the work paints 1/3 of the house, micheal does the rest. How many hours in total takes them to paint the

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jean paints the house in 10 hours, Micheal does is in 12 hours. Jean starts the work paints 1/3 of the house, micheal does the rest. How many hours in total takes them to paint the      Log On


   



Question 978732: Jean paints the house in 10 hours, Micheal does is in 12 hours. Jean starts the work paints 1/3 of the house, micheal does the rest. How many hours in total takes them to paint the house?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The work of painting the house is split into two time periods. Main first goal is find the
missing time quantities.

RT=J to relate RATE, TIME, and amount of JOB, here being equal to 1.
subscripts j and m for Jean and Michael. Michael works on the 2%2F3 remaining after
jean's part.

PERSON_______jobs per hour
Jean___________1/10
Michael________1/12

system%28%281%2F10%29t%5Bj%5D=1%2F3%2C%281%2F12%29t%5Bm%5D=2%2F3%29

Solve for the variables and find their sum.