Zeno's Paradox (Math Question)

[Bursche]

"Therefore, because there are an infinite number of points Achilles must reach where the tortoise has already been, he can never overtake the tortoise."

This assumption is wrong because Achilles is moving at a faster pace than the tortoise. If Achilles reached the 100 mark when the tortoise reached 10 ahead, then Achilles is moving at a much faster, constant speed. Achilles will have to pass the tortoise because he is moving faster than the tortoise at a constant rate.