The past doesn't end but gets longer.
It's the manifestation of the statement saying that the time never stops, the past is like the fire that never stops eating the plants when it is launched. Like that, the past eats the present. Every moment you are having now is the present. But every second from that moment is part of the past, as soon as it is passed. Just in a blink of an eye.
The past and present are two sides of one coin, and that coin is in harmony to make the future shorter and shorter and to make us explain that time moves and never waits.
The present is the bridge between the past and future.