The calculated distance (air line) between Druzhkivka and Vuhlehirsk is approximately 40 miles respectively 65 kilometers.
By car or train, the actual journey to Vuhlehirsk is certainly longer, as only the direct route (as the crow flies) between Druzhkivka and Vuhlehirsk has been calculated here.
Air line (approximately)
65 kilometers
35 nautical miles