What does it mean to have a meal after a trip?

Give a banquet to entertain guests from afar to show sympathy and welcome.

This is a combination of image and metaphor. In ancient times, walking, no matter what kind of exercise was used, would drive the air to flow and form wind, such as: wind under your feet, dust all the way and so on. It is such a delight to have friends coming so far. When friends stop, the wind driven by friends' walking stops. To make a metaphor, catching the wind formed by a friend's walking is equivalent to catching a friend. This is the courtesy that a host should have to his friends. It is the host's responsibility to arrange accommodation when friends arrive home. It is a metaphor for the host's courtesy to distant friends, and it is also a way of being human between people. This is a common oral social expression of ancient literati.