SOLUTION: Please! help me on how do i set up this problem to answer it. Sylvia can complete a job in 45 minutes working alone. Carla takes 30 minutes to complete the same job. How long wo

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Question 482224: Please! help me on how do i set up this problem to answer it.
Sylvia can complete a job in 45 minutes working alone. Carla takes 30 minutes to complete the same job. How long would it take if they worked together?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Sylvia can complete a job in 45 minutes working alone. Carla takes 30 minutes to complete the same job. How long would it take if they worked together?
Think in terms of "rate to complete the job".
.
Let x =time (minutes) it takes for both
then
x(1/45 + 1/30) = 1
multiplying both sides by 1350:
x(30 + 45) = 1350
x(75) = 1350
x = 18 minutes