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