SOLUTION: Mike, an experienced bricklayer, can build a wall in 6 hours, while his son, who is learning, can do the job in 12 hours. How long, in hours and minutes, does it take for them to b

Algebra ->  College  -> Linear Algebra -> SOLUTION: Mike, an experienced bricklayer, can build a wall in 6 hours, while his son, who is learning, can do the job in 12 hours. How long, in hours and minutes, does it take for them to b      Log On


   



Question 1139729: Mike, an experienced bricklayer, can build a wall in 6 hours, while his son, who is learning, can do the job in 12 hours. How long, in hours and minutes, does it take for them to build a wall together?
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.

Mike makes  1%2F6  of the job per hour.


His son makes  1%2F12  of the job per hour.


Working together, they make  1%2F6 + 1%2F12 = 2%2F12+%2B+1%2F12 = 3%2F12 = 1%2F4  of the job per hour.


Hence, it will take 4 hours for them to complete the job working together.

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.