At certain points in the game, time will not advance until you do a certain thing. The first example of this happening is in Nefroburg - right after the Globetrotters get on the train, and Connie suggests you go and visit with Dr. Nutmeg.
Time will not advance, no matter how many times you leave or enter a town, until you visit him.
There are plenty of ways to use this to your advantage - the main way is to make some money.
The Wagtail Canyon, right outside of Nefroburg, is home to fossils. If you collect these, you can sell them to the Museum Curator, Belmundo. Normally, each time you leave or enter Nefroburg, time advances to the next 'section' of a day (Morning, Noon, Evening, Night), but because of the game's coding - it won't do this.
You can use this to your advantage to make a lot of money - though it'll still take some time, considering the amount of walking you'll have to do.
But it's an easy way to make a ton of money at the beginning of the game, opening you up to many upgrade options that will be coming up later in the story.
Added by: Jay_Dee Mar 11th 2012, ID#33956