SOLUTION: mike can do a job alone in 1 hour less than homer, together they work 3 hours, homer goes home, mike works an additional 4 hours, how long would it take homer to do the job by hims

Algebra ->  Rate-of-work-word-problems -> SOLUTION: mike can do a job alone in 1 hour less than homer, together they work 3 hours, homer goes home, mike works an additional 4 hours, how long would it take homer to do the job by hims      Log On


   

Question 944412: mike can do a job alone in 1 hour less than homer, together they work 3 hours, homer goes home, mike works an additional 4 hours, how long would it take homer to do the job by himself.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform Rates, RT=J using J for amount of job.

RATES
Mike, 1%2F%28x-1%29
Homer, 1%2Fx
x, how much time for Homer to do 1 job.

The description gives two terms for rate times time to be summed.
%281%2F%28x-1%29%2B1%2Fx%29%2A3%2B%281%2F%28x-1%29%294=1;
Deriving that equation is most important for the solution process.
Solve for x.