The calculated distance (air line) between Bloemfontein and Mohale's Hoek is approximately 104 miles respectively 167 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 Bloemfontein and Mohale's Hoek has been calculated here.
Air line (approximately)
167 kilometers
90 nautical miles