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Australian AMC 2008 - Upper Primary Question 24

AMC AUSTRALIA · Australian AMC 2008 - Upper Primary

Question 24

Paradise is a circular island. There are 4 villages on the island at the N, E, S and SE points. Each village has fishing rights for a single continuous strip of coastline, which must include the village plus 3 km either side. If the fishing rights are distributed as evenly as possible between the four villages under the above rules, and the difference between the length of coastline fished by the village at N and the village at SE is as small as possible, then this difference, in kilometres, is
  1. 6
  2. 9
  3. 12
  4. 15
  5. 36