I have an interesting question for you all to ponder. The answer can be found in a few places, but not a lot, but I have an inkling that the standard answer given is wrong, or at least, not comprehensive. The question is this: You and a friend fall into a black hole together (lets make it a non-rotating neutrally charge black hole for simplicity). At the point exactly where you pass the event horizon you fire a handy dandy rocket pack that you earlier strapped onto you back. You point yourself away from the center of the black hole, and hence are accelerating outwards. Your friend does nothing except adopt a zen-like calm about their approaching doom in the central singularity. Now obviously your jetpack cannot get you back outside the event horizon, but intuitively you might think it could delay your inevitable meeting with the singularity. The question I have is who will experience the most proper time (who's watch will tick the most seconds) before they hit the central singularity. Apologies for being a little cagey, but I'd like to see what the smart people here think about this, and what references you may be aware of that discuss this problem, before I reveal what I think is the 'right' answer.