The mileage from Jerusalem to Nazareth and Capernaum and vice versa is: Approximately 120 miles (193 km)! The most direct route would be about 90 miles, however this would be through Samaria. This was an area between Jerusalem and the Galilee area to the north. The Jews as a whole hated the Samaritans and they the Jews. Travel through Samaria was to be avoided because of the mountainous conditions and the racial hatred. The travel route was from Jerusalem down to the Jordan valley 'the Jericho Road'. Then across the Jordan River into the area know as Perea (part of present day Jordan and once a part of Israel with two and a half tribes of Israel living there). One would then go north on the east side of the River Jordan on up into Decpolis still on the east side of the River Jordan. Just below the Sea of Galilee the route crossed back over the River Jordan and then split. One route went on Northwest to Nazareth the other route passing along the West side of the Sea of Galilee past Tiberias and on through Magdala to Capernaum. Both these routes are about the same mileage.
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There are 4 different modern villages that might have been the Cana in the New Testament. 3 of the candidates are clustered about 10 miles west-southwest of Tiberias in what is now Palestinian territory. The other one is in southern Lebanon, about 25 miles northwest of the Sea of Galilee. Sadly, the authors of the New Testament didn't include maps to pin things like this down more clearly.