We know that all particles are moving round at very high speeds in the micro world. The static picture we see in a mountain not moving for example, is only a statistical average of the various random motions of the constituents. Now, since the unit of speed is space divided by time, we see that space and time are firmly locked and can't be separated. Thus there is no way of telling which is more fundamental than the other- space or time. This makes velocity or momentum the most fundamental property of the universe we live in. Statistically however, one can average time out or space out leaving a quantity changing with space only, or changing with time only.
It is possible to artificially separate space and time however, by associating space with linear motion and time with circular motion. This is quite in tune with what we actually do in practice, as we measure time using oscillations of some sort. But this is only artificial, since to measure distance using light for example, we need to count the number of rotations or the time of flight as in modern official definition of the meter.
The counting of rotations/oscillations to measure time have the property that the count can only go up giving the required arrow of time. The zero of time (the present) can be chosen to be any number of rotations, with past before the zero and future after the zero. Finally since time is firmly related to motion, one can say the time has started with the first motion in the universe and will not stop before every motion stops everywhere.