The statement that must be true about the two postal delivery workers is:
They each have a displacement of 0 miles.
Displacement refers to the shortest distance from the initial position to the final position, taking into account direction. Since both workers start and end at the post office, their displacement is indeed 0 miles, regardless of the distance they traveled along their different routes.
The other statements about traveling the same distance or having the same velocity are not necessarily true, as they can have different routes which may involve different distances and different velocities. The statement about traveling a distance of 0 miles is also incorrect, as they do travel distances during their routes.