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A tortoise and a hare are having a 100m race.
The tortoise, being the slowest animal in the universe, advances at a speed of one hydrogen atom width per second - or
\(1\times 10^{-10}\text{ m/s}\)
The hare, being the fastest animal in the universe, sets of at the speed of light, or
\(3\times 10^{8}\text{ m/s}\)
The hare, being an arrogant animal, likes to slow down as he approaches the finish line, in order to soak up the glory from the admiring spectators. Each time he halves the distance between himself and the finish line, he halves his speed.
Who wins the race, and by what distance?
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