The calculated distance (air line) between Wādī Mūsá and Karak City is approximately 61 miles respectively 98 kilometers.
By car or train, the actual journey to Karak City is certainly longer, as only the direct route (as the crow flies) between Wādī Mūsá and Karak City has been calculated here.
Air line (approximately)
98 kilometers
53 nautical miles