Question 1123241
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<U>1. Algebra solution</U>


<pre>
Let R be rate of work of the team B.  (= the part of job the team B complete dayli).


Then the rate of work of the team A is twice of it, i.e. 2R


From the condition, we have 


    2R + R = {{{1/6}}}     <<<---=== it is exactly what the condition says about two reams A and B working together.


This equation is  3R = {{{1/6}}},  or, equivalently,  R = {{{1/(3*6)}}} = {{{1/18}}},  which exactly means that the team B will complete the job in 18 days.


Then you may conclude that the team A will complete the job in 18/2 = 9 days.
</pre>

Solved.



<U>2. Logic solution</U>


<pre>
Team A works as two teams B.


Since A + B  complete the job in 6 days, it means that three teams B working together will complete the job in 6 days.


Hence, one single team B will complete the job in 3*6 = 18 days working alone.


Then the Team A will complete it in 9 days working alone.


<U>Check</U>.  {{{1/18}}} + {{{1/9}}} = {{{3/54 + 6/54}}} = {{{9/54}}} = {{{1/6}}}.   ! Correct !

</pre>

Solved mentally, without using equations.


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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. &nbsp;See the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Word-problems-WORKING-TOGETHER-by-Fractions.lesson>Using Fractions to solve word problems on joint work</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Solving-more-complicated-word-problems-on-joint-work.lesson>Solving more complicated word problems on joint work</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Selected-problems-from-the-archive-on-joint-work-word-problems.lesson>Selected joint-work word problems from the archive</A> 



Read them and get be trained in solving joint-work problems.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this textbook under the topic 
"<U>Rate of work and joint work problems</U>" &nbsp;of the section &nbsp;"<U>Word problems</U>".



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.