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

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) (Show Source): You can put this solution on YOUR website!
.

John's machine makes  of the job per day.

Mary's machine makes  of the job per day.

Working together they make  +  =  of the job per day.


Hence, it will take  of the day to complete the job working together.


 of the day =  =  hours.

------------------
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.

RELATED QUESTIONS
paul can split a cord of wood in 12 hours. his father can split a cord of wood in 4... (answered by Alan3354)

Please help me! 😋 My problem is 'Paul can split a cord of wood in 12 hours. His... (answered by Alan3354)

John cuts a cord of wood three times as fast as Ben. Together they can cut a cord of wood (answered by jorel1380)

you can split all the wood in a wood pile in 505 hours.your father can do it in 7... (answered by ankor@dixie-net.com)

IF 10 MEN CAN CUT A PIECE OF WOOD IN 4 DAYS,HOW LONG WILL IT TAKE 8 MEN TO CUT THE SAME... (answered by ramkikk66)

solution A is 20% alcohol and solution B is 70% alcohol. How much of each is needed to... (answered by josgarithmetic)

Working together, Carla and Elise can cut and split a cord of wood in 4 hours. Working... (answered by checkley77)

Kay wants to buy a new fireplace insert that will burn gas instead of wood. She normally... (answered by ankor@dixie-net.com)

Kay wants to buy a new fireplace insert that will burn gas instead of wood. She normally... (answered by richwmiller)