This is a famous paradox put forward by the ancient Greek mathematician Zhi Nuo, whose original intention is:

When Achilles reached the tortoise's starting point, the tortoise had climbed a section, and then when he reached the point where the tortoise climbed a section, the tortoise climbed another section … and so on.

Zeno paradox involves summation after infinite division, and the development of calculus makes quantitative analysis possible. After infinite division, each part tends to zero but not equal to zero, and its sum is not equal to zero, but it will not be infinite.

For Achilles, although he has to reach a certain starting point countless times, the spatial distance it travels is not infinite. The space distance for chasing turtles is:

d/(v 1-v2)

(where d is the initial distance, v 1 and v2 are the fast and slow speeds, respectively)

Is a limited number, for a limited distance, of course, you can cross and reach the end point in a limited time.

But some people are still dissatisfied with this explanation. In a word, this is the charm of mathematics.