AA 3478 then AA 3611 at DFW
Wichita → Dallas-Fort Worth → Abilene
Timetable, Dallas-Fort Worth time
08:40AA 3478 from Wichita at the gate
21:10AA 3611 to Abilene leaves the gate
12 h 30 apart on the timetable
AA 3611 leaves 12 h 30 after AA 3478 arrives on the timetable: more than half a day, so not a connection we count.