I agree with many, but not all, on here. For me, walking is far too enjoyable to make some sort of competition out of it. IMHO as soon as you start going against the clock you detract from the activity. You will be reluctant stop to chat or divert to investigate something interesting or just stop to take the time required to admire the view properly. In effect, it is turning walking from a passtime to some form of athletic event. I appreciate some people like to challenge themsleves to see how fast they can go and that is fine for them, though if it is a self-challenge, I question the motivation for then making the time and distance public. Different strokes for different folks I suppose.
That said, I admit I do keep a walking log that includes a record of time and distance as well as other things but it is solely for my own amusement and is not for sharing. It does not include bottom to top times but I suppose I could work it out from the gps traces. However, my time walking in Snowdonia was before I developed and digitsed my current walking log or recorded continuous routes by gps. IIRC, the one time I actually noticed how long I took, it was from the Llanberis car park to the summit in a little under 2 hours. I cannot recall a bottom to top time for any of the other routes, to be honest it did not matter.