The shortest way - updated

In a previous post I was looking at ways to minimise flight distance, using Great Circle routes. One could argue that actually if you are in a frequent flyer program that you don't care about flight distance, only flight time.

It seems from the various online booking sites, that only www.expedia.co.uk allows you to sort by flight duration.

If I try a notional trip from LHR to ABQ it tells me that the shortest duration is actually via Denver. Great Circle mapper shows this as 5019 miles: