word problem for mathematics

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

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?

May 18th, 2015

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 :)

May 18th, 2015

joan is wrong

May 18th, 2015

joan is wrong

May 18th, 2015

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

May 18th, 2015

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

May 18th, 2015

...
May 18th, 2015
...
May 18th, 2015
Oct 19th, 2017
check_circle