<PRE><B>Question 1093866</B>
.
&lt;pre&gt;
The carpenter makes {{{1/4}}} of the job per hour. It is his rate of work.


The assistant makes {{{1/6}}} of the job per hour. It is his rate of work.


Working together, they make {{{1/4 + 1/6}}} = {{{6/24 + 4/24}}} = {{{10/24}}} = {{{5/12}}} of the job each hour.


      Notice that their rates are added !!  (Which is so natural . . . )



Hence, it will take {{{12/5}}} = {{{2}}}{{{2/5}}} hours = 2 hours and 24 minutes for them to complete the job working together.
&lt;/pre&gt;


&lt;U&gt;Lesson to learn from this solution&lt;/U&gt;


&lt;pre&gt;
    When solving rate of work problems,  think about rates of work, 
    and remember that the combined rate of two persons working together is the sum of the rates of individuals.
&lt;/pre&gt;


---------------
It is a typical joint work problem.


There is a wide variety of similar solved joint-work problems with detailed explanations in this site. &amp;nbsp;See the lessons

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Word-problems-WORKING-TOGETHER-by-Fractions.lesson&gt;Using Fractions to solve word problems on joint work&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Solving-more-complicated-word-problems-on-joint-work.lesson&gt;Solving more complicated word problems on joint work&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Selected-problems-from-the-archive-on-joint-work-word-problems.lesson&gt;Selected joint-work word problems from the archive&lt;/A&gt; 



Read them and get be trained in solving joint-work problems.


Also, &amp;nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson&gt;ALGEBRA-I - YOUR ONLINE TEXTBOOK&lt;/A&gt;.


The referred lessons are the part of this textbook under the topic 
&quot;&lt;U&gt;Rate of work and joint work problems&lt;/U&gt;&quot; &amp;nbsp;of the section &amp;nbsp;&quot;&lt;U&gt;Word problems&lt;/U&gt;&quot;.



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.



</PRE>