After eight days of building a highway, it is more than 120 meters above the midpoint. The rest will continue to be built at the original speed and can be completed in six days. How long is the highway?

After 8 days, the whole course is 8x (6 + 8) = 8 / 14 times 6 / 14
More than 120m above the midpoint, 8 / 14 is more than 6 / 14, 120 * 2 = 240
Total length = 240 / (8 / 14-6 / 14) = 6720m

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