AA 3768 then AA 3816 at DFW
Rapid City → Dallas-Fort Worth → Columbia Metropolitan
Timetable, Dallas-Fort Worth time
13:45AA 3768 from Rapid City at the gate
13:15AA 3816 to Columbia Metropolitan leaves the gate
23 h 30 apart on the timetable, overnight
AA 3816 leaves 23 h 30 after AA 3768 arrives on the timetable: more than half a day, so not a connection we count.