Question 1134353
<br>
The time needed to paint the room is inversely proportional to the number of workers.  That means if the number of workers goes up by a factor of x the number of hours required goes down by that same factor.<br>
In this problem, the number of workers goes up from 4 to 6; that's a factor of 6/4, or 3/2.  The number of hours needed goes down by that same factor:<br>
{{{3/(3/2) = 3*(2/3) = 2}}}<br>
Less formally, you can just say that since the number of workers changes by a factor of 3/2 the number of hours changes by a factor of 2/3.  2/3 of 3 hours is 2 hours.