The calculated distance (air line) between Saḩam al Kaffārāt and Amman is approximately 52 miles respectively 84 kilometers.
By car or train, the actual journey to Amman is certainly longer, as only the direct route (as the crow flies) between Saḩam al Kaffārāt and Amman has been calculated here.
Air line (approximately)
84 kilometers
45 nautical miles