SOLUTION: John can paint a house in 6 days. It would take Tom 9 days to do the same work. If John works alone for 2 days and then is joined by Tom, how much total time is required for painti

Algebra ->  Rate-of-work-word-problems -> SOLUTION: John can paint a house in 6 days. It would take Tom 9 days to do the same work. If John works alone for 2 days and then is joined by Tom, how much total time is required for painti      Log On


   

Question 722498: John can paint a house in 6 days. It would take Tom 9 days to do the same work. If John works alone for 2 days and then is joined by Tom, how much total time is required for painting entire house?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
John alone for 2 days: %281%2F6%29%2A2 amount of jobs
John plus Tom for d days: %281%2F6%2B1%2F9%29%2Ad amount of jobs

The sum of those two "amount of jobs" must be 1 when the job is done.
%281%2F6%29%2A2%2B%281%2F6%2B1%2F9%29%2Ad=1
Solve for d.
The total time is 2%2Bd.