SOLUTION: It takes Joan 4 times longet than jane to file the reports. Together, they can file reports in 24 minutes. How long would it take each woman to file the reports by herself? It

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Question 652889: It takes Joan 4 times longet than jane to file the reports. Together, they can file reports in 24 minutes. How long would it take each woman to file the reports by herself?
It take Jane ___ minutes
It takes Joan ___ minutes
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the time

If Jane do all work alone in x minutes, then in 1 minute she can do 1%2Fx part of work
It takes Joan 4+times longer than Jane to file reports, so Joan can do all work alone in 4x minutes, then in 1 minute she can do 1%2F%284x%29 part of work
If they work together 24 minutes, then Jane does 24%2Fxpart of work, Joan does 24%2F%284x%29=6%2Fxpart of work.
In 24 minutes they did all work, all work is 1.
Equation
24%2Fx%2B6%2Fx=1 Multiply both sides by x
24%2B6=x
x=30
So Jane needs 30 minutes for all work, Joan needs 4%2A30=120 minutes