Question 1198854

Quiboy can clean the barn in 6 hours, and Quiboy and Rod together can clean the same barn in 3 hours. How long would it take for Rod to clean the barn by himself?
<pre>Let time Rod takes to do job, alone, be R
Then Rod can complete {{{1/R}}} of job in 1 hour
As Quiboy takes 6 hours to complete job alone, {{{1/6}}} of job can be completed in 1 hour
As both take 3 hours to complete job, working together, we get: {{{matrix(1,3, 1/R + 1/6, "=", 1/3)}}}
                                                                6 + R = 2R ---- Multiplying by LCD, 6R
                                                                    6 = 2R - R

                         <font color = red><font size = 3><b>Time Rod takes to complete job, alone</font></font></b>, or {{{highlight_green(matrix(1,4, R, "=", highlight(6), hours))}}}</pre>