SOLUTION: If Mark can do chores in ¾ of an hour, and if Bren and Mark together can do them in ½ of an hour, how long will it take them to Bren to finish the work?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Mark can do chores in ¾ of an hour, and if Bren and Mark together can do them in ½ of an hour, how long will it take them to Bren to finish the work?      Log On


   



Question 1165825: If Mark can do chores in ¾ of an hour, and if Bren and Mark together can do them in ½ of an hour, how long will it take them to Bren to finish the work?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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The combined rate of work of Bren and Mark is  1%2F%28%281%2F2%29%29 = 2 jobs per hour.


The individual rate of work by Mark is  1%2F%28%283%2F4%29%29 = 4%2F3  jobs per hour.


Hence, the individual rate of work by Bren is the difference  2 - 4%2F3 = 2%2F3  of the job per hour.


It means that Bren can complete the job in 3%2F2 hours = 1 1%2F2 hours = 1 hour and 30 minutes, working alone.    ANSWER

Solved.

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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.