let

x = the time Joan needs to file the reports

y = the time Jane needs to file the reports

it takes joan 7 times longer than jane to file the reports:

x = 7y

together they can file the reports in 14 minutes:

x + y = 14

by solving the system of equations:

x = 7y

x + y = 14

we find:

x = 12.25 min

x = 12 min 0.25*60 s

x = 12 min 15 s

y = 1.75 min

y = 1 min 0.75*60 s

y = 1 min 45 s

click here to see the step by step solution of the system of equations:

Click to see all the steps

Joan need 12 minutes and 15 seconds to file the reports.

Jane needs 1 minute and 45 seconds to file the reports.