Things you think are happening now could actually have happened up to 80 milliseconds ago.
You can demonstrate this yourself by clicking your fingers in front of your face.
As long as two related things happen within 80 milliseconds of each other, your brain can match them up.
For example, if the soundtrack of a film matches the pictures within 80 milliseconds, you'll perceive them as being in sync. If its over 80 milliseconds out, though, you'll notice.
This isn't because your brain can't tell time to that precision. It can, it just chooses not to, and by doing so helps you make sense of the world.