The calculated distance (air line) between Wādī Mūsá and Umm as Summāq is approximately 110 miles respectively 178 kilometers.
By car or train, the actual journey to Umm as Summāq is certainly longer, as only the direct route (as the crow flies) between Wādī Mūsá and Umm as Summāq has been calculated here.
Air line (approximately)
178 kilometers
96 nautical miles