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BEBRAS 2017 Grade 9-10 Round 2 Ext Question 11

BEBRAS · BEBRAS 2017 Grade 9-10 Round 2 Ext

Question 11

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

Question illustration

A monkey takes 3 seconds between the central tree and any other tree; 2 seconds between a bare tree and a palm; and 7 seconds between the two bare trees or the two palms. Each tree has a different label P,Q,R,S,T. The monkey visits P,Q,S,R,T,R,P in that order. Which labels can the central tree have 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