OK are we talking a Mustang or a Shire or Clydesdale? Carrying the food or dragging a wagon?
I don't know enough about horses but a heavy horse (Shirehorse, Suffolk Punch or Clydesdale in the UK) can drag quite a decent load. Granddad's Clydesdale "Damson" could make a furrow with a plough all day, back in the day - bloody hard work. Ironically, that was in Devon - Scottish horse in Shire land! He got a Ferguson tractor later but they kept the horses as well.
I think we would run out of UK for a single horse load unless doing the full Land's End to John o'Groats (or trying to cross the Irish Sea) but a bigger land might need a re-fuel or two.