SOLUTION: Dennis estimates that he could paint Mrs. Abaya's house in 6 days. Adam, her assistant, calculated that he could do it in 10 days. How long would it take both of them to finish the

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Dennis estimates that he could paint Mrs. Abaya's house in 6 days. Adam, her assistant, calculated that he could do it in 10 days. How long would it take both of them to finish the      Log On


   

Question 1171797: Dennis estimates that he could paint Mrs. Abaya's house in 6 days. Adam, her assistant, calculated that he could do it in 10 days. How long would it take both of them to finish the job if they worked together?
Answer by ikleyn(53765) About Me  (Show Source):
You can put this solution on YOUR website!
.

Their combined rate of work is  1%2F6%2B1%2F10 = 5%2F30%2B3%2F30 = 8%2F30 = 4%2F15  of the job per day.


Hence, they complete the job in  15%2F4 = 3 3%2F4 of the day, working together.    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.