The Loganair Westray to Papa Westray route is the shortest scheduled passenger flight in the world. Flights on this route are scheduled for one and a half minutes, and actual flying time is closer to one minute. The record for the fastest flight is 53 seconds. The route is flown by Loganair, a Scottish regional airline that serves Scotland’s Highlands and islands. It costs £17.
The route between the Orkney Islands of Westray and Papa Westray is a subsidized public service obligation. The Orkney Islands Council awards the route, along with several other routes throughout the islands, through a tendering process. The flights began in 1967, establishing the record for the world’s shortest scheduled flights, and they have been continuously operated by Loganair. In 2013, the contract was again awarded to Loganair over two competing bids.
Source Wikipedia: https://en.wikipedia.org/wiki/Westray_to_Papa_Westray_flight
Extra: Last year the route celebrated its 1 millionth passenger: