The calculated distance (air line) between Bu'ayna-Nujaydat and Beersheba is approximately 113 miles respectively 182 kilometers.
By car or train, the actual journey to Beersheba is certainly longer, as only the direct route (as the crow flies) between Bu'ayna-Nujaydat and Beersheba has been calculated here.
Air line (approximately)
182 kilometers
98 nautical miles