They seem to move, outside of battle, at the same speed as you. So the moment you make a slightly wrong turn or get in the goo, you get caught and battle.
Also, I got to the orange door. Is there anything past it, or is that the end?
Viewing post in Arousing Sexual Stories: Risu's Initial Mission comments
Oh no the orange door requires you to go back to one of the previous rooms to some vials to mix up something to get past the door, I believe Rosich should have mentioned it when you encounter the door.
And hmm, that is odd about them moving that fast, I'll look into possibly decreasing their speed in future updates