So they put the TARDIS at 1 x10^16 C eh?
Well lets dig up my previous uber geekiness. In the classic Tom Baker story (Planet of evil) the Doctor and Sarah Jane Smith travelled from earth to the edge of the known universe (in the future) in a few seconds of screen time. We know this because the previous story was Terror of the Zygons and the Doctor was going from some place in Scotland to London, but missed it by a couple of thousand years (not kilometres). They somehow receive a distress call from a planet on the edge of the known universe and travelled there in a few seconds of screen time. Now people could argue he was actually travelling for hours, but Sarah hadn't changed any clothes, so I am going to round it to 10 seconds between receiving the distress call and arriving on the planet Zeta Minor (it was actually less in screen time). Zeta Minor was located at the edge of the universe which was a plot point because of something from a nearby universe.
At a conservative number, I will use the size of the observable universe, ie a radius of 14 billion LY from Earth. The real universe is most probably bigger and someone more knowledgeable can tell me the estimated size based on expansion or some such method.
So lets assume the TARDIS covered 14 billion LY in 10 seconds.
That's 1.4 x10^9 LY per second
And 1.4 x 10^9 x 9.46073047 x 10^12 km per second
And C is 299 792.458 km / second
So that's 44180639987947928.963576528666375 C or 4.4 x 10^16 C, ie around 4 times faster than what they give.
There are a few qualifiers of course. One as mentioned is the size of the universe vs the observable universe. The other is whether the few seconds of screen time translates into "real time."
But nevertheless, one conclusion is inescapable. The TARDIS is fast.
BTW - they forgot the non canon story of VOY (Threshold) where the team somehow goes to warp 10, causing Janeway and Paris to "evolve" into stupid lizard creatures, who then copulate. Cringes.
Never apologise for being a geek, because they won't apologise to you for being an arsehole. John Barrowman - 22 June 2014 Perth Supernova.
Countries I have been to - 14.
Australia, Canada, China, Colombia, Denmark, Ecuador, Finland, Germany, Malaysia, Netherlands, Norway, Singapore, Sweden, USA.
Always on the lookout for more nice places to visit.