I forgot there is no light cavalry in BM. I don't know how far heavy armoured european cavalries travelled a day but apparently Mongolian light cavalries could travel up to 160 km per day.
Yup, the mongol army was entirely based around light horse, mostly archers. Part of their advantage was they were used to the steppes and thus their horses were bred to do more with less food. Compared to European armies they had very little in the way of a baggage train requirement, which allowed their armies to move very rapidly.
You probably won't find a figure for European Cavalry movement speeds, because it was largely irrelevant. Europeans didn't generally field armies of 100% cavalry, and thus when moving as an army the moved the knights and heavy cavalry along with the archers and infantry.
