Since, with the naked eye, we can't see much beyond our galaxy, this scenario is untrue. The
local group and our galaxy itself are gravitationally bound and are not flying apart. Except for
heading into the Great Attractor, which may gobble us up by then anyway.
...distant galaxies will
be travelling away from us faster than the speed of light -
a rare exception to the rule that nothing can go faster than light.
They aren't travelling at the speed of light. They are sitting there.
What is happening is that space is expanding between us. And
space expansion is not limited to the speed of light.
I don't think I know more than a professor of astronomy,
so put this down to dumb reportage. :)