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Answer :
If t : time for Mario to run 10 m and Luigi for 7 m.
Calculate time of Mario " x " to complete his 13 m :       (10 / t) = (13 / x) <==> x = 1,3t
Calculate time for Luigi " y " to complete 10 m :               (7 / t) = (10 / y) <==> y = 1,43t
Mario wins by about (1,43t - 1,3t) = 0,13t

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