Billy The Ant
Let's say there is a rubber rope, and an ant called Billy. The rubber rope starts at a length of 10cm but can stretch to an infinite length. Billy walks onto the start of the rope, about 1 cm in, and he wants to make it to the end of the rope. The challenge is, every time Billy moves 1 cm, the rope stretches another 10 cm. Will Billy ever manage to make it to the end?
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1 solution
Billy can keep going, a centimeter each step, even with the growing rope, he can eventually make it to the end. Since, when you stretch a rubber band, it stretches on both sides, once Billy makes it to the middle, he will always be at least halfway. Eventually, the rubber band will stretch extremely far, but as long as Billy keeps moving, he will slowly but surely make it to the end of the rope.