The statement that must be true about the two postal delivery workers is:
They each have a displacement of 0 miles.
This is true because displacement is defined as the change in position from the starting point to the final position. Since both workers return to the post office after their deliveries, their final positions are the same as their starting positions, resulting in a displacement of 0 miles.
The other statements are not necessarily true. They might not have the same velocity, may travel different distances depending on their routes, and it's not correct to say they each travel a distance of 0 miles.