OK, we're gonna play a little game. We will stay strictly within the realm of Newtonian Mechanics.
Posit: An expanding Universe from the zero point, aka "The Big Bang".
The Mission: Using a Bussard Ramjet drive system, you depart for the edge of the universe. remember, as your velocity (V) approaches light speed (C), your time dilation effect increases and your ship time slows below the rate of sidereal time passage. You experience fewer years than the exterior universe does outside of your bubble. Ship Time will be represented by the Greek lower case letter tau (τ) and sidereal by (T)
For simplicity of the brain crunch, let's go ahead and place Earth as the physical center of the expanding universe. This is just to fix a position so we have a fixed reference origin. How long will it take you in T(years)? How long in τ(Years)? What is the end ratio of T:τ? Finally, will you ever actually be able to reach the edge of the universe, or are we talking an asymptotic curve of the type of equation where you take the remaining distance and keep dividing in into halves as it descends toward remaining distance being zero, but can never hit zero, even to the distance measured in fractions of the distance traveled in one unit of Planck Time (A theoretical smallest possible measure of a unit of time and indivisible). The distance can be defined as the diameter of a photon, which is the smallest indivisible particle in Newtonian Mechanics. When and how far apart will T and τ diverge.......how many years?