Trudge (trŭj) means to walk slowly, heavily or in a laborious way. It can also be used as a noun, referring to a long or cumbersome walk.
As the number of risky mortgage borrowers being turfed out of their homes escalates, so does the rate of Wall Street chief executives trudging dejectedly out of their corner offices. (The Economist)
Mrs. Roosevelt, who invariably accompanies the President at church, chose to trudge the three miles to Sagamore Hill by her husband’s side rather than drive home in the comfortable and covered family carriage. (NY Times)