How long would it take to get to the Andromeda Galaxy traveling at 100000 miles per second?

Answer 1

4.9 million years

Answer 2

From who's point of view?  If you could go near the speed of light it would be roughly the same number of years as light years (2.2 million years) from an observer on earth's point of view.  On the ship it would be near instantaneous due to relativistic effects.