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: Send one hobbit across the river. Send one orc across the river. Send two hobbits across the river. Send two orcs across the river. 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

Two people were walking in opposite directions Two people were walking in opposite directions. Both of them walked 6 miles forward then took right and walked 8 miles. How far is each from starting positions?

A fast train leaves London for Brighton and at the same time a slow train leaves Brighton for London. The fast train leaves at 80 mph and the slow train travels at 35 mph. When they meet, which is farther from London?

A girl, a boy, and a dog start walking down a road A girl, a boy, and a dog start 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?

14 of the kids in the class are girls. 8 of the kids wear blue shirts 14 of the kids in the class are girls. 8 of the kids wear blue shirts. 2 of the kids are neither girls or wear a blue shirt.  If 5 of the kids are girls who wear blue shirts how many kids are in the class?

The numbers on our fortune wheel must be placed in a way that the sum of any two numbers that come next to each other is equal to the sum of numbers that are on the opposite side of the wheel. Right now that is only true for the numbers:      1, 10 -- 5,6 1+10=5+6 Right now the rule does not apply for any of the other numbers. 1+2≠6+7 Can you fix the fortune wheel?