A rhinoceros will most likely only travel if it needs to find food, water or a partner.
Picture from Michael Farino
It is said that when food and water are both abundant, a rhino will have no incentive to travel, so they will stay in their favored localities. Because rhinos do not need to drink everyday and generally have no major probably obtaining water, they will travel to find food or partners. If it is during a dry season however, they will increase their range of travel from 12 sq. km up to 20 sq. km.