If expansion is true and expansion it taking place at light speed and is accelerating, they would never be able to collide.
You're also perpetuating
this little myth, in addition to the rather glaring mathematical mistake Percy and Cavediver pointed out.
If the Unvierse were "expanding at light speed," you'd never be able to read this message - the space between your eyes and the monitor would increase at the same speed the light travels, so the light would never reach you.
The expansion of the Universe can't really be described as a "speed." There is a rate to the expansion, but as I recall it's expressed in (Distance/time/parsec). That means the farther away an object is, the faster it will be moving away from you. Close-together objects will barely be moving apart at all relative to each other - the expansion is insignificant at scales like the distance between you and your monitor, the distance between the Earth and the Sun, and even the distance between the Milky Way and Andromeda galaxies. As cavediver explained, the expansion is only significant at extreme distances, a the scale of galactic clusters.
Basically, the expansion of space is occurring for all units of distance, so the rate of expansion is additive. The rate of expansion for objects two feet apart is twice the rate of expansion between objects one foot apart. The rate of expansion between you and your computer monitor is imperceptibly small. The rate of expansion between you and an object 100 billion (not million) lightyears away would be relatively "fast."
Think of the balloon analogy again.
All of the surface area on the balloon is expanding at the same rate. The distance between two mites an inch apart will be increasing slowly. The distance between two mites 6 inches apart on the balloon will be increasing 6 times "faster," even though they aren't actually
moving at all. They can also have their own real motion in addition, but the expansion of space is not real motion with inertia or anything else we're used to.
Cavediver explained all of this at the
start of the thread. Stop repeating the smae misconception 5 pages later, please.