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?
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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(20849) (Show Source): You can put this solution on YOUR website!
let be the time
If Jane do all work alone in minutes, then in minute she can do part of work
It takes Joan times longer than Jane to file reports, so Joan can do all work alone in minutes, then in minute she can do part of work
If they work together minutes, then Jane does part of work, Joan does part of work.
In minutes they did all work, all work is .
Equation
Multiply both sides by
So Jane needs minutes for all work, Joan needs minutes
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