SOLUTION: The first fellow could finish 7 jobs in 3 hours, and the second fellow could finish 8 jobs in 5 hours. How long would they have to work together to finish 59 jobs?

Question 515152: The first fellow could finish 7 jobs in 3 hours, and the second fellow could finish 8 jobs in 5 hours. How long would they have to work together to finish 59 jobs?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The first fellow could finish 7 jobs in 3 hours, and the second fellow could finish 8 jobs in 5 hours. How long would they have to work together to finish 59 jobs?
.
Let x = time (hours) to finish 59 jobs
then
x(7/3 + 8/5) = 59
multiplying both sides by 15:
x(35 + 24) = 885
x(59) = 885
x = 885/59
x = 15 hours

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