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Prestia e Comandè
Prestia and Comande' offer an excellent and regular service with a single ticket, which can be bought on the coach itself, costing Euros 5.80, which you will find much cheaper than a taxi of course and the pick up points are convenient, too.
Coach departures are from:
Falcone Borsellino airport 05.00 - 24.00
Palermo central station 04.00 - 23.00
There are a few stops on the way and From Palermo central station takes approximately 50 mins to arrive at the airport and from Piazza Politeama about 35 minutes.