x = 50÷ 1/ 10x = 50× 10/ 1x = 500m。
This road is 500 kilometers long.
Note: The ratio of repaired to unrepaired is 2:3, that is, repaired by 2/5X, not repaired by 3/5X, and repaired by 50 kilometers to the midpoint, that is.
1/2X, 1/2x-2/5x = 50km, so 50 ÷ (1/2-2/5) = 500km.