1.) Conveyor Race
The box of gears will pass the box of timing belts 6 minutes and 40 seconds after the box of motors passed the box of timing belts.
2.) Fuse Ruse
They shipped four boxes of 17 and two boxes of 16 – for a total of exactly 100 fuses.
3.) Paint Match
40 widgets can be assembled and painted by the robot in one shift.
Let X represent the unknown quantity of widgets. The faction of the shift spent assembling widgets would be: x widgets divided by 65 widget/shift, and likewise the fraction of the shift spent painting would be x widgets divided by 104 widgets/shift. The two fractions total 1 shift, so x/65 + x/104 = 1; x=40