Question 37864
Using t for time, we have
t/8 + (t + 2)/12 = 1  (we use 1 for one job)
Now multiply all by 24 (the LCD) and get
3t + 2(t + 2) = 24
5t + 4 = 24
5t = 20
t = 4
The 1st person works 4 hrs and the second works 6.