The calculated distance (air line) between Aş Şuwayrah and Al Kūt is approximately 67 miles respectively 108 kilometers.
By car or train, the actual journey to Al Kūt is certainly longer, as only the direct route (as the crow flies) between Aş Şuwayrah and Al Kūt has been calculated here.
Air line (approximately)
108 kilometers
58 nautical miles