DL 905 then DL 5308 at Atlanta
Salt Lake City → Atlanta → Lafayette
Timetable, Atlanta time
23:00DL 905 from Salt Lake City at the gate
13:59DL 5308 to Lafayette leaves the gate
14 h 59 apart on the timetable, overnight
DL 5308 leaves 14 h 59 after DL 905 arrives on the timetable: more than half a day, so not a connection we count.