The calculated distance (air line) between Al Başrah al Qadīmah and Al Kūt is approximately 182 miles respectively 293 kilometers.
By car or train, the actual journey to Al Kūt is certainly longer, as only the direct route (as the crow flies) between Al Başrah al Qadīmah and Al Kūt has been calculated here.
Air line (approximately)
293 kilometers
158 nautical miles