The calculated distance (air line) between Qaryat al Bayyāḑah and Tobruk is approximately 161 miles respectively 259 kilometers.
By car or train, the actual journey to Tobruk is certainly longer, as only the direct route (as the crow flies) between Qaryat al Bayyāḑah and Tobruk has been calculated here.
Air line (approximately)
259 kilometers
140 nautical miles