LA 9967 then LA 2232 at Lima
Quito → Lima → Cusco
Timetable, Lima time
00:14LA 9967 from Quito at the gate
14:15LA 2232 to Cusco leaves the gate
14 h 01 apart on the timetable
LA 2232 leaves 14 h 01 after LA 9967 arrives on the timetable: more than half a day, so not a connection we count.