AA 2781 then AA 1887 at Philadelphia
Raleigh-Durham → Philadelphia → Kansas City
Timetable, Philadelphia time
07:35AA 2781 from Raleigh-Durham at the gate
20:00AA 1887 to Kansas City leaves the gate
12 h 25 apart on the timetable
AA 1887 leaves 12 h 25 after AA 2781 arrives on the timetable: more than half a day, so not a connection we count.