Hmmm...
In thinking more about this, it might be more of an issue of moving into an area already searched rather than moving at a given speed. If you knew what areas had been searchd, and where the searchers were now, you could conceivably move into a pre-searcehd area and be safe for a while.
More realistically though, if you had no way of knowing what areas had already been searched, or what the size of the search area was to begin with, you are still faced with the same problem.
Still, there might be some mathematical probability formula that could be invoked to give one the best odds, but I have no idea how one would calculate that.
Cheers.
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