Its not a paradox!
The explanation bases on real motion in the real world.
The error of mathematicians is to think the real world is like the
mathematical world. In the mathematical world there are infinitely small distances,
in the real world there are not!.
The laws of quantum mechanics make distances below a certain scale senseless.
Therefore there is a practical bottom level to distances, and the solution
results in a limited amount of steps to follow (to move to a point)

Mathematicians think that their mathematical laws are the only truth, and applicable
to the real world.

For example: there can be -5 Apples in one room mathematically.
But never practically!

Even Democritus in ancient Greece knew that there is a smallest
unbreakable unit "atomos". And not "half an atomos"

There is also no practically infinitely small time-duration.
To measure time you need a referrence basis, like the movement of an
atom or quantum. But there is a bottom limit to determine the position
of a quantum moving between points A and B, where you can not differentiate
animore if it is at A or B now.