AA 5660 then DL 1218 at Detroit
Washington National → Detroit → Austin
Timetable, Detroit time
09:01AA 5660 from Washington National at the gate
08:55DL 1218 to Austin leaves the gate
23 h 54 apart on the timetable, overnight
DL 1218 leaves 23 h 54 after AA 5660 arrives on the timetable: more than half a day, so not a connection we count.