The first question to ask would be: Does time have a speed? And if it does, is it the same as the speed of light? I asked myself these questions and not being a Quantum Physicist or an Astrophysicist, I had to think about it from a very unscientific point of view. Since I am a sort of Quantum Physics 'fan', I do watch Michio Kaku (sp) and I do read Discover Magazine. How much I truly understand is debatable, or at best, questionable.
For example, I retired last February. At that time, pardon the pun, time was moving slow half the day and exceptionally fast the second part of the day. In other words, the 12 hours a day I spent getting ready for work, driving to and from work and actually being at work passed very slowly. Once I reached home, the other twelve hours of the day passed so fast, I felt as if I was standing still and everything around me was moving at 78RPM for all you disc lovers out there and for the MTV crowd, sort of like that Sting video, Send Your Love Into the Future (don't quote me on the name of the song, but that is the main lyric).
Then suddenly everything changed.
The next thing I knew, all 24 hours were passing at relatively faster speeds. It has been over ten months, almost a full year and time has continued to increase in velocity. It seems that I have even less time to work on my novels and promotions and blogging than I did when I was working full time.
So in answer to the questions asked in the first paragraph, both answers are yes. Yes, time has a speed and yes, it is exactly the speed of light.