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Australian AMC 2012 - Intermediate Question 26

AMC AUSTRALIA · Australian AMC 2012 - Intermediate

Question 26

Slim took a long road trip across Australia over a number of days (more than 1). When he arrived at his destination, he noted that he had travelled exactly 2012 kilometres. On the first day he travelled a whole number of kilometres and each subsequent day he travelled one more kilometre than the day before. What is the largest distance, in kilometres, that he could have travelled on the first day?