AA 3768 then AA 6238 at DFW
Rapid City → Dallas-Fort Worth → Amarillo
Timetable, Dallas-Fort Worth time
13:45AA 3768 from Rapid City at the gate
08:25AA 6238 to Amarillo leaves the gate
18 h 40 apart on the timetable, overnight
AA 6238 leaves 18 h 40 after AA 3768 arrives on the timetable: more than half a day, so not a connection we count.