The statement that must be true about the two postal delivery workers is: They each have a displacement of 0 miles.
Displacement is defined as the change in position from the starting point to the ending point. Since both workers start at the post office and return to the post office, their displacement is 0 miles, regardless of the distance they travel on their routes.
The other statements do not necessarily hold true:
- They may travel different distances, depending on their respective routes.
- Their velocities can differ based on how quickly they travel along their routes.
- The distance traveled by each can also be different, as their routes can vary.
Thus, the only statement that must be true is regarding their displacement.