The calculated distance (air line) between Amman and Wādī as Sīr is approximately 7 miles respectively 12 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 Amman and Wādī as Sīr has been calculated here.
Air line (approximately)
12 kilometers
6 nautical miles