The calculated distance (air line) between Aş Şuwayrah and As Sulaymānīyah is approximately 186 miles respectively 300 kilometers.
By car or train, the actual journey to As Sulaymānīyah is certainly longer, as only the direct route (as the crow flies) between Aş Şuwayrah and As Sulaymānīyah has been calculated here.
Air line (approximately)
300 kilometers
162 nautical miles