SOLUTION: a bricklayer can build a brick wall in 2 days. His apprentice needs 3 days to build the same wall. How long would it take them to build the wall if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: a bricklayer can build a brick wall in 2 days. His apprentice needs 3 days to build the same wall. How long would it take them to build the wall if they work together?      Log On


   



Question 1117456: a bricklayer can build a brick wall in 2 days. His apprentice needs 3 days to build the same wall. How long would it take them to build the wall if they work together?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The master makes  1%2F2  of the job per day.


The apprentice makes  1%2F3  of the job per day.


Working together, they make  1%2F2%2B1%2F3 = 3%2F6%2B2%2F6 = 5%2F6 of the job per day.


Hence, it will take them  6%2F5 of the day = 11%2F5 of the day to complete the job working together.

Solved.

---------------
It is a typical and standard 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.