The Hobbits & Orcs Problem

The Hobbits & Orcs Problem

Three hobbits and three orcs arrive at a riverbank, and they all want to cross to the other side. Fortunately, there is a boat available, but, unfortunately, it can carry only two creatures at a time. What really makes the situation complicated is that the orcs are vicious creatures. Whenever there are more orcs than hobbits on one side of the river, the orcs will immediately attack the hobbits and eat them up. Consequently, you should be certain that you never leave more orcs than hobbits on either riverbank. Although the orcs are vicious, they can be trusted to bring the boat back. Your challenge is to move all six creatures across the river without allowing the orcs to eat the hobbits.

There are five possible moves that you can make while working on the problem: 1. Send one hobbit across the river. 2. Send one orc across the river. 3. Send two hobbits across the river. 4. Send two orcs across the river. 5. Send one hobbit and one orc across the river. And remember, at least one creature must bring the boat back each time.

Send 2 orcs across 1 orc 2 orcs 1 orc 2 hobbits 1 hobbit and 1 orc 2 hobbits 1 orc [at this point, all hobbits are on the goal side and all orcs are on the start side] 2 orcs 1 orc 2orcs

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walking down a road. They start at the same time, from the same point, in the same direction. The boy walks at 5 km/h, the girl at 6 km/h. The dog runs from boy to girl and back again with a constant speed of 10 km/h. The dog does not slow down on the turn. How far does the dog travel in 1 hour?

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