AA 1558 then AA 9783 at Miami
Lima → Miami → Philadelphia
Timetable, Miami time
13:02AA 1558 from Lima at the gate
18:50AA 9783 to Philadelphia leaves the gate
5 h 48 apart on the timetable
The last days
AA 1558 and AA 9783 weren’t both flown 15 min to 12 h apart in the last 21 days.
Statistics from past flights, not live flight information. Always check times and your connection with your airline, and don’t base travel or booking decisions on these numbers.