Minute Physics explains what time is and “time is a lot like space”. The existence of time is measured by the fact that entropy (ability of a system to become more disorderly over time) is increasing. Caltech physicist Sean Carroll explains that at first the Universe was a very ordered system and it’s becoming more and more disorderly.
Thus, the concept of time is a very real presence, not just used in theoretical calculations.
The link between time and space is obvious when you think of Einsten’s Relativity Theory: time passes slower in a moving system (Special Relativity) and time flows faster at longer distances from a center of gravity (General Relativity). You might want a detailed explanation of this phenomenon of time not being consistent in all systems by watching the explanation about GPS and time.