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BEBRAS 2017 Grade 7-8 Round 2 Ext Question 12

BEBRAS · BEBRAS 2017 Grade 7-8 Round 2 Ext

Question 12

A central leafy tree is surrounded by two bare trees and two palms.

Question illustration

A monkey takes 3 seconds between the center and any other tree, 2 seconds between a bare tree and a palm in either direction, and 7 seconds between the two bare trees or the two palms. The five trees have different labels P, Q, R, S, T. The monkey visits P, Q, S, R, T, R, P in that order. Which labels can occupy the center if the total travel time is as small as possible?
  1. P,Q or T
  2. P,S or T
  3. Q,S or T
  4. Q,R or S