The universe doesn't have 'ends', so the question doesn't arise. The universe is either infinite, or finite but bounded. We're not sure which. Either way, there are no ends or edges.
However, yu can calculate, if you are interested, how long it would take to cross the observable universe. That is around 100bn light years in diameter. That is, if you were travelling at the speed of light, it would take 100bn years to cross. (That is a very long time - roughly 7 times the complete age of the universe to date.)
At the lower speed of your m/cycle, you just need to know the speed of your m/cycle, and the speed of light. The latter is 3.10^10 cm/sec. Get your calculator out.