The calculated distance (air line) between Hofheim am Taunus and Bochum-Hordel is approximately 112 miles respectively 181 kilometers.
By car or train, the actual journey to Bochum-Hordel is certainly longer, as only the direct route (as the crow flies) between Hofheim am Taunus and Bochum-Hordel has been calculated here.
Air line (approximately)
181 kilometers
97 nautical miles