The calculated distance (air line) between Ḩayy al Quwaysimah and Wādī Mūsá is approximately 113 miles respectively 182 kilometers.
By car or train, the actual journey to Wādī Mūsá is certainly longer, as only the direct route (as the crow flies) between Ḩayy al Quwaysimah and Wādī Mūsá has been calculated here.
Air line (approximately)
182 kilometers
98 nautical miles