How do we reach from one point to another point when we have infinite set of "subdistances" to cover? Logically to reach from one point to another point when we have to cover infinitely many sub-distances,i.e.,first we have cover half the distance but to cover half the distance we have cover half of the half distance and so on. So how do we actully reach the final point. I also have the same type of question for a real number line:How do we reach from one number to another when there are infinitely many numbers in between

This is known as "Zeno's paradox", so look up that term if you want to know more.

In our modern mathematical formalization of "distance" -- that is, the real numbers -- the answer to this question is that between event 1 (being present at one point) and event 2 (being present at another point), infinitely many events can occur (being present at e.g. the point halfway between the two points, and halfway between those points, and so on). This can happen despite the fact that between event 1 and event 2 we cover only a finite amount of distance, or that it takes a finite amount of time.