Question 11
A central leafy tree is surrounded by two bare trees and two palms.

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?

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?