The calculated distance (air line) between Khartsyzk and Vuhlehirsk is approximately 20 miles respectively 32 kilometers.
By car or train, the actual journey to Vuhlehirsk is certainly longer, as only the direct route (as the crow flies) between Khartsyzk and Vuhlehirsk has been calculated here.
Air line (approximately)
32 kilometers
17 nautical miles