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