The calculated distance (air line) between Taunusstein and Gau-Algesheim is approximately 15 miles respectively 24 kilometers.
By car or train, the actual journey to Gau-Algesheim is certainly longer, as only the direct route (as the crow flies) between Taunusstein and Gau-Algesheim has been calculated here.
Air line (approximately)
24 kilometers
13 nautical miles