The calculated distance (air line) between Wad az Zāki and Khartoum is approximately 78 miles respectively 126 kilometers.
By car or train, the actual journey to Khartoum is certainly longer, as only the direct route (as the crow flies) between Wad az Zāki and Khartoum has been calculated here.
Air line (approximately)
126 kilometers
68 nautical miles