Isn't amazing how the news of the Edinburgh Tram project spreads.
The travel time for the express bus to and from airport to Waverly bridge remains at 25 minutes regardless of the tram project, road closures etc. I have used in regularly as it is sometimes quicker and always cheaper than the cabs.
Even at peak hours it is pretty reliable at 25 mins with regular frequency - 10 mins is normal.
Getting to/from Haymarket should take no longer than 15-20minutes. Interestingly, this journey will get no quicker by tram when they start operating - but, will get much more expensive! Well, what do you expect for £525M?