<PRE><B>Question 1208171</B>
&lt;br&gt;
You have, so far, two responses showing very different methods for solving the problem.&lt;br&gt;
There are numerous other methods; below is a solution by the method I find easiest.&lt;br&gt;
The problem asks for how many days it will take.  So start with the given number of days, 12, and multiply it by factors based on how the values of the other parameters change.&lt;br&gt;
The given scenario has 8 men; the new scenario has 15 men.  More men means fewer days, so the number of days changes by a factor of 8/15.&lt;br&gt;
The given scenario has 16 machines; the new scenario has 50.  More machines to make means more days, so the number of days changes by a factor of 50/16.&lt;br&gt;
The calculation is then&lt;br&gt;
{{{(12)(8/15)(50/16)=(12*8*50)/(15*16)}}}&lt;br&gt;
Cancel some common factors before performing the multiplication:&lt;br&gt;
{{{(12)(8/16)(50/15)=(12)(1/2)(10/3)=(6)(10/3)=20}}}&lt;br&gt;
ANSWER: 20 days&lt;br&gt;
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