SOLUTION: Holly, James, and Mary work together to paint the outside of a barn. Holly can do the job alone in six hours. James or Mary can do the job alone in 12 hours. If all three work toge

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Holly, James, and Mary work together to paint the outside of a barn. Holly can do the job alone in six hours. James or Mary can do the job alone in 12 hours. If all three work toge      Log On


   



Question 1069206: Holly, James, and Mary work together to paint the outside of a barn. Holly can do the job alone in six hours. James or Mary can do the job alone in 12 hours. If all three work together, how many hours will it take them to complete the job?
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
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Holly makes  1%2F6  of the job per hour.

James makes  1%2F12  of the job per hour.

Mary makes  1%2F12  of the job per hour.

Working together, they make 1%2F6+%2B+1%2F12+%2B+1%2F12 = 2%2F12+%2B+1%2F12+%2B+1%2F12 = 4%2F12 = 1%2F3 of the work per hour.


Answer. It will take 3 hour for the three to make the job working together.

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For a wide variety of similar solved joint-work problems with detailed explanations 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
in this site.

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".