SOLUTION: Emily took 6 hours to clean a cabinet. Jack and Emily took 2 hours to clean the same cabinet if they worked together. How long would Jack take to clean the cabinet by himself?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Emily took 6 hours to clean a cabinet. Jack and Emily took 2 hours to clean the same cabinet if they worked together. How long would Jack take to clean the cabinet by himself?      Log On


   

Question 1180322: Emily took 6 hours to clean a cabinet. Jack and Emily took 2 hours to clean the same cabinet if they worked together. How long would Jack take to clean the cabinet by himself?
Answer by ikleyn(52850) About Me  (Show Source):
You can put this solution on YOUR website!
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Their combined rate of work is  1%2F2  of the job per hour.


Emily's individual rate of work is  1%2F6  of the job per hour.


Hence, Jack's individual rate of work is  1%2F2+-+1%2F6 = 3%2F6+-+1%2F6 = 2%2F6 = 1%2F3  of the job per hour.


Ur means that  Jack will complete the job in  3  hours.    ANSWER

Solved, answered and explained.

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It is a standard and typical 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.