The calculated distance (air line) between Baraki Barak and Bāmyān is approximately 87 miles respectively 140 kilometers.
By car or train, the actual journey to Bāmyān is certainly longer, as only the direct route (as the crow flies) between Baraki Barak and Bāmyān has been calculated here.
Air line (approximately)
140 kilometers
76 nautical miles