This is not quite the way it works. Lets take Enmos' example that the maximum possible speed c is 100 mph, and you have two cars travelling away from each other at 80mph relative to the ground. Special relativity tells us that if an observer in on of the cars was able to measure the speed of the other car he would see it travelling away from him at $$ v_{\mathrm{obs} }= \frac{u+ v}{1+\frac{uv}{c^2}}$$ which in this example is $$\frac{160}{1+\frac{640}{1000}} \approx 97.6 \mathrm{mph}$$.
This is of course what happens in flat space, which is not what is being talked about here, but the point is still that an observer cannot move faster than the speed of light, but what we are calling "space" is not an observer. Let's think of another example: suppose I have a long pair of scissors, and I close them quickly. The blades of the scissors I could envisage sticking a little camera on, so they behave like observers and cannot move faster than c. The intersection point where one blade meets the other has no such restriction on it so it can move faster than c. This isn't problematic though, because nothing physical is going faster than c.
It is possible that the universe will expand at an ever increasing rate, and one may ask what that means for the "edge of the universe," but really that is something of a meaningless question to ask because it's not something we can observe. At the moment we are confined within the Hubble volume, which is effectively a sphere of radius the age of the universe times the speed of light. If the expansion of the universe accelerates, the Hubble volume will actually shrink, and eventually will be so small that matter will be blown apart by the expansion. This is called the big rip.
