Are we teleporting?

[ErGingerbreadMandude]

Are you aware that there are an infinite number of points between any two numbers?

For example:

num=(any number greater than 0);
while(num!=0)
num=num/2;

Let's just assume for the sake of my example that num can hold any value.Then this would be an infinite loop.Do you know why?Well,it's because there are an
infinite number of numbers between 0 and 5.If i were to assign A=0 and B=5 then there would be an infinite number of points between A and B.


Anyway i've been thinking about something and it's really gotten on my nerves.Can someone help me clear this doubt?

Lets consider the points A,B,C,D,E,F,G and H.
Lets assume that it takes time 't' to go from each consecutive point to the next.

If an object moves at a speed of 1 point/sec for 4 seconds,then it would reach D in 4 seconds with a total time consumption of t*3.
If an object moves at a speed of 2 points/sec for 4 seconds,then it would reach H in 4 seconds with a total time consumption of t*7.

But if i look at it like this:

a(time t)b(time t)c(time t)d
ab(time t)cd(time t)ef(time t)gh

Then it starts to makes sense.But what happens to the initial condition that to travel between each consecutive points it would take time t?Because i don't
see and time taken to go from a to b?
Shouldn't it be:

a(time t)b(time t)c(time t)d(time t)e(time t)f(time t)g(time t)h

Wouldn't the time t between ab,cd,ef and gh require to be zero for

a(time t)b(time t)c(time t)d
ab(time t)cd(time t)ef(time t)gh

to be true?

Pahahaha what the heck is happening here?