The noun trudge describes a long, difficult walk. You know those stories your grandparents tell about how they used to walk six miles uphill in the brutal cold every morning just to get to school? They're describing a trudge.
Trudge is also a verb that means to walk slowly or firmly, like when you're tired. If you trudge through heavy snow or mud, your steps will be slower and it will require more effort to put one foot in front of the other. Need help remembering what trudge means? Say it out loud. Trudge rhymes with sludge — and walking through sludge, or thick muck, would cause you to trudge.