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MathNet 2012 Question 92

Math Olympiad Vault · MathNet 2012

Question 92

Alberto, Bernardo and Carlos ran a race, each at a constant speed throughout. When Alberto crossed the finish line, Bernardo and Carlos were respectively 36 and 46 metres behind him. When Bernardo crossed the finish line, Carlos was 16 metres behind him. What is the length of the track?
A) $96\,\mathrm m$
B) $100\,\mathrm m$
C) $120\,\mathrm m$
D) $136\,\mathrm m$
E) $144\,\mathrm m$