UA 4775 then DL 3876 at Denver
Casper → Denver → Austin
Timetable, Denver time
10:00UA 4775 from Casper at the gate
09:42DL 3876 to Austin leaves the gate
23 h 42 apart on the timetable, overnight
DL 3876 leaves 23 h 42 after UA 4775 arrives on the timetable: more than half a day, so not a connection we count.