Problema Solution
It takes Joan 7 times longer than Patty to file the reports. TOgether, they can file the reports in 28minutes. How long would it take each woman to file the reports alone?
It would take Joan _____minutes
It would take Patty______minutes
Answer provided by our tutors
For this type of question, think what fraction of the reports each person files during the 28 minutes.
In this case, Patty files 7/8 of the reports and Joan files 1/8 of them.
For Joan to file all the reports on her own, it would take her 8 times as long, i.e. 8x28=224 minutes, or 3 hours 44 minutes.
For Patty to file all the reports on her own, it would take her 8/7 times as long, i.e. 8x28/7=32 minutes.