yes, of course, travelling at the speed of light is not possible, but the question still has its merits. It is useful to help in the understanding of relativity.
Ignoring the (minor!) problem of it being impossible, i stand by my earlier response...
... let's say you're travelling at 0.99*c (c: the speed of light) to make it just practically impossible.
Einstein's theory tells us that the speed of light is constant relative to any inertial (that is, non-accelerating) frame of reference. It does not say that the speed of light is constant relative to just one inertial frame as suggested. That is what newton's laws were all about.
It seems that the common misconception with this type of problem is as follows:
If you are travelling at .99c, and the light is travelling away from you at speed c, then the surely the light has speed 1.99c. This is not the case.....
Relative to you the light has speed c, and relative to a stationary observer the light also has speed c, not 1.99c... Even if you could travel at 1000c, the speed of light relative to you would still be c.
So according to Einstein's theory of relativity the definitive answer to the question...
it's not possible.. but if you could get to that speed, then yes.. the road would be lit...