Problema Solution

It takes Joan 7 times longer than jane to file the reports. Together, they can file the reports in 35 minutes. How long would it take each woman to file reports by herself?

Answer provided by our tutors

let 'x' represent the amount of time in hours Jane can file a report, then '7x' represents the amount of time in hours Joan takes to file a report


35 minutes = 35/60 hours


1/(35/60) = 1/x + 1/7x

solving for 'x' we have x=0.667


0.667 * 60 = 40 minutes

7*0.667 = 4.7 hours


it takes Jane approximately 40 minutes to file reports by herself, it takes Joan approximately 4.7 hours