The calculated distance (air line) between Ḩayy al Quwaysimah and Aqaba is approximately 174 miles respectively 280 kilometers.
By car or train, the actual journey to Aqaba is certainly longer, as only the direct route (as the crow flies) between Ḩayy al Quwaysimah and Aqaba has been calculated here.
Air line (approximately)
280 kilometers
151 nautical miles