This one took a few attempts, however, the trick is to take the shortest path to force the ghosts to follow you, the more that follow you, the bigger the score you will get when you finally eat the power pill.
Check the timer bar underneath the main timer as this shows how long the ghost will remain blue. Some ghosts carry a power pill and this will extend the time.
Save the power pill provided at the start (Above Pac Man) until near the end of the game, as you will probably need it.
Check your score at the 5 minute mark, you're aiming for 950,000 to 1,000,000 points on average, anything above that and you're well on track for this achievement.
When the game goes into slow-mo when you are near a ghost, check the direction of his eyes, if they are not looking directly at you and towards another exit in the maze, you may not need to use your Pac-Bombs. Using the bombs will of course take them out of the map, but also reduce the pill points from 100 to approx half each time you use one.
Update: Video created by Reabo that shows how to complete the achievement available her: