SOLUTION: Ron takes two hr more then Paul to mow the lawn working together they can mow the lawn in 5 hr how long does it take each of them working alone?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Ron takes two hr more then Paul to mow the lawn working together they can mow the lawn in 5 hr how long does it take each of them working alone?      Log On


   



Question 834083: Ron takes two hr more then Paul to mow the lawn working together they can mow the lawn in 5 hr how long does it take each of them working alone?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Let t be the time for Paul to do the job alone.

_______________work rate________time__________job
Ron___________(___)_____________t+2___________1
Paul__________(___)______________t____________1
Together______(___)______________5_____________1

Rate*Time=Job, fill in the missing rate information.

_______________work rate________time__________job
Ron___________1/(t+2)_____________t+2___________1
Paul__________1/t_________________t____________1
Together______1/5_________________5_____________1

The rates of both working together are simply additive. Solve for t. Use it to compute each person's rate.