Here is the weekly BOAC Lancastrian timetable via Tripoli in March 1949 (table 30), which was cargo only, and the Constellation passenger service (table 26), twice weekly.
http://www.timetableimages.com/ttima...49/ba49-09.jpg
Notably both took 6 days to get there. For the Lancastrian to keep up with the Constellation must have been some going. Note how even a cargo flight did nightstops, the crew stayed with the aircraft for extended periods. Likewise surprising that such an aircraft, which as a matter of course returned from each wartime operation with multiple technical snags, was even used on round trips to Austalia. I wonder how many actually returned to London on time. Never mind, KLM used to do Amsterdam to Sydney with DC-3s !
If you want to see that complete BOAC timetable for March 1949, all the pages are here. Table 23 has the flying boats still operating from Southampton to Shanghai and Tokyo.
Index of /ttimages/complete/ba49