it takes joan 7 times longer than jane to file the report. together, they can file the report in 35 minutes. how long would it take each woman to file the reports by herself?

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

Let me know if you have any questions. Hope this helps :)

joan is wrong

I'll calculate again and get back to you shortly, sorry about that :/

I didn't convert the 4.7 completely to minutes for the .7. Do you have 4 hours, 42 minutes for the answer then.

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