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Challenge Response 98


Vanderlei Lamb and the Marathon

Being x the total distance of the route, we can say that Vanderlei had already traveled (2/5) * x.

As there were still 40km to reach halfway (x / 2), we can form the following equation:

x / 2 = (2/5) * x + 40

Calculating the least common multiple, we have:

5x / 10 = (4x + 400) / 10

5x-4x = 400

x = 400

Answer: The total distance was 400km.

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