SOLUTION: Arlene and AJ are Chemist. AJ can do an emulsion polymerization experiment in 10 hours. If AJ and Arlene work together they can do the experiment in 6 hours. How long will it tak

Question 79426: Arlene and AJ are Chemist. AJ can do an emulsion polymerization experiment in 10 hours. If AJ and Arlene work together they can do the experiment in 6 hours. How long will it take Arlene working by herself to do the experiment?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Arlene and AJ are Chemist. AJ can do an emulsion polymerization experiment in 10 hours. If AJ and Arlene work together they can do the experiment in 6 hours. How long will it take Arlene working by herself to do the experiment?
:
Let t = time for Ar to do the job by herself
:
Let the completed job = 1
:
A simple equation:
:
+ = 1
:
Mult eq by 10t to get rid of the denominators, you then have:
6t + 6(10) = 10t
:
6t - 10t = -60
:
-4t = -60
t = -60/-4
t = + 15 hrs Ar by herself:
:
:
Check:
6/10 + 6/15 =
3/5 + 2/5 = 1
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