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BEBRAS 2018 Grade 9-10 Round 2 Ext Question 14

BEBRAS · BEBRAS 2018 Grade 9-10 Round 2 Ext

Question 14

Homestead Dam has four chambers A,B,C,F joined by tunnels. A,B,C are bedrooms and F stores food. Ten beavers wake up in A and want breakfast in F.

Question illustration

Each tunnel carries at most one beaver at a time, and crossing takes 1 minute. There are 4 tunnels A–B,1 A–C,2 B–C,1 B–F and 3 C–F. Every chamber can hold all ten beavers. What is the earliest time when all ten can be in F?
  1. 3 minutes
  2. 4 minutes
  3. 5 minutes
  4. 6 minutes