SOLUTION: John and Mary operate wood splitters for fireplace wood. John's machine can split a pile of wood in 4 days. Mary can do the same in 3 days. They work 8h/d. How long will it take th

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Question 1097553: John and Mary operate wood splitters for fireplace wood. John's machine can split a pile of wood in 4 days. Mary can do the same in 3 days. They work 8h/d. How long will it take them to split the pile of wood using both machines?
Answer by ikleyn(53765) About Me  (Show Source):
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John's machine makes 1%2F4 of the job per day.

Mary's machine makes 1%2F3 of the job per day.

Working together they make 1%2F4 + 1%2F3 = 7%2F12 of the job per day.


Hence, it will take 12%2F7 of the day to complete the job working together.


12%2F7 of the day = %2812%2A8%29%2F7 = 96%2F7 hours.


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It is a 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.