The calculated distance (air line) between Ḩayy al Bunayyāt and Wādī Mūsá is approximately 111 miles respectively 179 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 Bunayyāt and Wādī Mūsá has been calculated here.
Air line (approximately)
179 kilometers
97 nautical miles