We know that hard boiling an egg is typically pretty simple, but you can help speed the process along by adding a bit of white vinegar to your boiling water. Just add a tablespoon of vinegar to the water and it'll make the egg much easier to peel when it's done. The acidity in the vinegar breaks down some of the calcium in the egg. For extra fast peeling, peel under cold, running water.
In addition, the vinegar will also help keep the egg white from running if you accidentally crack the egg when you drop it in the pot of boiling water.