The calculated distance (air line) between Al Khawr and Madīnat ash Shamāl is approximately 36 miles respectively 58 kilometers.
By car or train, the actual journey to Madīnat ash Shamāl is certainly longer, as only the direct route (as the crow flies) between Al Khawr and Madīnat ash Shamāl has been calculated here.
Air line (approximately)
58 kilometers
31 nautical miles