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 start point to the endpoint. Since both workers start and end at the post office, their displacement is 0 miles regardless of the distance they travel on their routes.
The other options are not necessarily true:
- They do not have to have the same velocity, as their speeds and directions may differ even if their starting and ending points are the same.
- They do not travel a distance of 0 miles; they travel some distance while delivering mail before returning to the post office.
- They do not necessarily travel the same distance because their delivery routes could be different.