I will post a new one every week, or as soon as one is solved.
The Boatman Crossing the River with Fox, Chicken, and Cabbage (source unknown)
There is a boatman who has a very tiny and rickety boat. His goal is to cross the river and take his two pets: a chicken and a fox, and a head of cabbage. The problem is this. The boat is so small, he can only take one thing with him at a time, and to make things worse, he knows that if he leaves the fox alone with the chicken, the fox will gobble up the chicken, and surely, if the chicken is left with the cabbage, the boatman will have no more cabbage. How can the boatman get all three across the river with him?