SOLUTION: Jen does one-quarter of a job in 3 hours. If Nicky works 2 hours more than Jen, she can finish one-sixth of the job. How long does it take to do the job if they work together?

Question 1063895: Jen does one-quarter of a job in 3 hours. If Nicky works 2 hours more than Jen, she can finish one-sixth of the job. How long does it take to do the job if they work together?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Jen does one-quarter of a job in 3 hours.
therefore: 4 * 3 = 12 hrs to complete the job
:
If Nicky works 2 hours more than Jen, she can finish one-sixth of the job.
Jen works 3 hrs, therefore N works 5hr, therefore N:
6 * 5 = 30 hrs to complete the job
:
How long does it take to do the job if they work together?
let t = time required working together
let completed job = 1
A shared work equation, each does a fraction of the job.
The two fractions add up 1
+ = 1
multiply equation by 60, cancel the denominators
5t + 2t = 60
7t = 60
t = 60/7
t = 8.57 hrs working together
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