Your perception of time doesn't change if you travel even close to the speed of light. What changes is the perception that will have others respect of you. If they would be able to look at your watch they will see that it moves slower than theirs, and gets slower the more close to the speed of light you move. If you see their watches you will see that they are moving slower, because the movement is relative. It becomes absolute when a force is applied to it, for example an acceleration (the twins paradox). Time and space is relative to the individual that is moving at a certain speed. For you, a minute will always be a minute, you will perceive it as the same amount of time always.
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The equations you are thinking of are the Lorentz Transformation, heres a link
http://www.classicalreality.net/Lorentz%20Transformation.htmWhen you travel nearly the same speed of light, light keeps on traveling at the speed of light from your point of view. So it is not "hardly moving" but in fact keeps on moving for everybody, independent of their velocities, at 300,000 km/sec (in vacumm). The only explanation to this is that time for the different observers is not comparable, everybody follows its own time, and space also.