A Math Problem

The problem: There’s a box with a hole at each end, and
there’s a rabbit in the box. The rabbit sticks his head out
of the hole in one end, and a minute later he sticks it out
the other end. Half a minute later, his head appears at the
opposite end, a fourth of a minute later it appears at the
end opposite to that one, an eighth of a minute later, etc.,
etc. How long will it take before the rabbit sticks its head
out of both ends of the box at the same time?

  • In theory, two minutes.
  • In practice, no answer is possible unless you split hares.

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