SOLUTION: It takes joan 3 times longer than jane to file reports. together they can do it in 12 minutes. How long would it take each woman to file the reports alone?

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Question 404894: It takes joan 3 times longer than jane to file reports. together they can do it in 12 minutes. How long would it take each woman to file the reports alone?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
If Jane do all work alone in x minutes, then in 1 minute she can do 1%2Fx part of work
It takes Joan 3 times longer than Jane to file reports, so Joan can do all work alone in 3x minutes, then in 1 minute she can do 1%2F%283x%29 part of work
If they work together 12 minutes, then Jane does 12%2Fxpart of work, Joan does 12%2F%283x%29=4%2Fxpart of work. In 12 minutes they did all work, all work is 1.
Equation
12%2Fx%2B4%2Fx=1 Multiply both sides by x
12%2B4=x
x=16
So Jane needs 16 minutes for all work, Joan needs 3%2A16=48 minutes