h2g2 The Hitchhiker's Guide to the Galaxy: Earth Edition

The Arrow has a initial velocity of around, say, 40 ms-1 (ish)... Say the tortoise is 80 meters away.

By d = st, t = d/s...

To move the first 40m, t = 40 / 40 = 1 second... It therefore takes 1s to move the first half distance...
To move the next 20m, t = 20 / 40 = 0.5s
To move the next 10m, t = 10 / 40 = 0.25s
...
To move the next 1m, t = 1 / 40 = 0.025s
To move the next 1mm, t = 0.001 / 40 = 0.000025s
To move the next 1um*, t = 0.000001 / 40 = 0.000000025s
* This is meant to be a micro!
To move the next 1nm, t = 0.000000001 / 40 = 0.000000000025s
...
To move the next 1x10-infinite m, t = 1x10^-infinite / 40 = ~1x10^-infinite seconds...

Sure the distance gets massive when you look at it at smaller scales, but, effectively, your speed reaches infinite - or - the time to travel any distance becomes infintessimal. Not even SEP, no problem at all... (?).

Of course, this means that, when the distance becomes effectively infinite (composed of an infinite number of divisions), and your speed becomes infinite, time = distance / speed = infinite / infinite = 1, meaning that it takes exactly 1 second to traverse any distance in the physical Universe. Which is always useful.