This is a threat quest where you must overcome speed threat 9+. In the past these have always said 'adding 1 for each space you are from the nearest entrance'. Since this one does not, I am correct in assuming that you do not do that here? Thanks for your help.
Oops! You're right. I was going off the top of my head and thought he was talking about a search Quest. I should have verified the card before answering.
A Speed Threat of 9+ would require an Epic hero to roll a 5+ (since they all have a base Speed of 4) so there is a 33% chance of success with each roll.