The calculated distance (air line) between As Sulaymānīyah and Kahrīz is approximately 123 miles respectively 198 kilometers.
By car or train, the actual journey to Kahrīz is certainly longer, as only the direct route (as the crow flies) between As Sulaymānīyah and Kahrīz has been calculated here.
Air line (approximately)
198 kilometers
107 nautical miles