F9 4993 then AA 3567 at DFW
New Orleans → Dallas-Fort Worth → Rapid City
Timetable, Dallas-Fort Worth time
21:07F9 4993 from New Orleans at the gate
20:10AA 3567 to Rapid City leaves the gate
23 h 03 apart on the timetable, overnight
AA 3567 leaves 23 h 03 after F9 4993 arrives on the timetable: more than half a day, so not a connection we count.