The calculated distance (air line) between Mohale's Hoek and Butha-Buthe is approximately 106 miles respectively 171 kilometers.
By car or train, the actual journey to Butha-Buthe is certainly longer, as only the direct route (as the crow flies) between Mohale's Hoek and Butha-Buthe has been calculated here.
Air line (approximately)
171 kilometers
92 nautical miles