The calculated distance (air line) between Hochheim am Main and Bochum-Hordel is approximately 115 miles respectively 185 kilometers.
By car or train, the actual journey to Bochum-Hordel is certainly longer, as only the direct route (as the crow flies) between Hochheim am Main and Bochum-Hordel has been calculated here.
Air line (approximately)
185 kilometers
100 nautical miles