The calculated distance (air line) between Mohale's Hoek and Bloemfontein is approximately 104 miles respectively 167 kilometers.
By car or train, the actual journey to Bloemfontein is certainly longer, as only the direct route (as the crow flies) between Mohale's Hoek and Bloemfontein has been calculated here.
Air line (approximately)
167 kilometers
90 nautical miles