There is no timeline where Uber could be justified as being 5 years old. For example, there is a Techcrunch article [1] about the company launching the initial product over 5 years ago (which I'm sure took some time to develop!). Uber's website says the company existed in 2009, along with Travis' LinkedIn profile.
And then they spend a good chunk of the article comparing the speed that the two companies reach different valuations. I wonder what arbitrary date they picked as the date Facebook was founded...
1: http://techcrunch.com/2010/07/05/ubercab-takes-the-hassle-ou...