Question 1123972
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The SIMPLEST and the MOST STRAIGHTFORWARD way to solve such problems is <U>THIS</U> :



<pre>
1.  From the first part of the condition, the rate of work of one worker is  {{{27/(3*15)}}} widgets per hour.


2.  At the second scenario, the rate of work of one worker is  {{{1260/(7*x)}}} widgets per hour,  where  x  is the unknown time under the question (in hours).


3.  Write the proportion (equation) saying that the rate of work is the same in both cases


    {{{27/(3*15)}}} =  {{{1260/(7*x)}}}.


4.  Solve the proportion for x :  


    x = {{{(3*15*1260)/(27*7)}}} = 300 hours.    (ANSWER)
</pre>

Solved.


Doing in this way, you will never make a mistake.


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To see other similar problems solved in this way, &nbsp;see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-problem.lesson>Rate of work problems</A> 

in this site.