The mathematics behind Pac-Man and the ghosts chasing him :
Put simply, Blinky is programmed to target whichever tile Pac-Man currently occupies, giving the illusion that he’s chasing the player. As the game progresses, Blinky’s speed increases to the point that he becomes marginally faster than Pac-Man at which point he becomes what fans refer to as “Cruise Elroy”. The exact number of dots you need to consume for Blinky to become Cruise Elroy depends on which level you’re currently playing, with the overall number dropping the further you get into the game to the point that he will assume Cruise Elroy form when there are still 60 dots left on screen. Blinky will momentarily cease being Cruise Elroy whenever the player loses a life.