The calculated distance (air line) between Wādī Mūsá and Wādī as Sīr is approximately 115 miles respectively 184 kilometers.
By car or train, the actual journey to Wādī as Sīr is certainly longer, as only the direct route (as the crow flies) between Wādī Mūsá and Wādī as Sīr has been calculated here.
Air line (approximately)
184 kilometers
100 nautical miles