Question 1000551
r, the work rate of ONE man.
{{{6r*2=1/4}}}, shows the first sentence of the description, but the question is  how many ADDITIONAL men to do this same work,  {{{1/4}}}, in 2 days.  This is 0 additional men.  The initial 6 men already met the requirement.


The question may intend for how many added men are needed to do the remaining  {{{3/4}}} of the whole job IN TWO MORE DAYS AFTER THE ALREADY TIME SPENT.  In this case,
Find r from the first equation: {{{r=(1/4)(1/2)(1/6)}}}
{{{r=1/(2*4*6)}}}


and then
{{{(6+n)r*2=3/4}}}


STEPS


{{{n+6=(3/4)(1/2)(1/r)}}}
{{{n=(3/4)(1/2)(1/r)-6}}}
{{{n=(3/4)(1/2)(2*4*6)-6}}}
{{{n=3*6-6}}}
{{{highlight(n=12)}}}-----------twelve additional men