SOLUTION: Allison can complete a sales route by herself in 6hrs working with an associate, she completes the route in 4hrs . How long would it take her associate to complete the route by her

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Question 1121236: Allison can complete a sales route by herself in 6hrs working with an associate, she completes the route in 4hrs . How long would it take her associate to complete the route by herself?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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Allison's rate of work is 1%2F6 of the job per hour.


The combined rate of work of the two is 1%2F4 of the job per hour.


Hence, the associate's individual rate of work is this difference  1%2F4 - 1%2F6 = 3%2F12-2%2F12 = 1%2F12 of the job per hour.


It means that the associate can complete the job in 12 hours working alone.

Solved.

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It is a typical and standard joint work problem.

There is a wide variety of similar solved joint-work problems with detailed explanations in this site.  See the lessons
    - Using Fractions to solve word problems on joint work
    - Solving more complicated word problems on joint work
    - Selected joint-work word problems from the archive


Read them and get be trained in solving joint-work problems.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic
"Rate of work and joint work problems"  of the section  "Word problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.