This isn't actually new, in fact it's quit old. But is has baffled everyone from web bloggers to pilots and Mythbusters will try to find out on Dec. 19.
Here's the problem: "A plane is standing on a runway that can move (some sort of band conveyer). The plane moves in one direction, while the conveyer moves in the opposite direction. This conveyer has a control system that tracks the plane speed and tunes the speed of the conveyer to be exactly the same (but in the opposite direction).
Take your time and think about this for a few moments.
Now,
does the plane take off?