The Farmer’s River Crossing

A farmer needs to get a coyote, a chicken and a sack of corn across a river.
His rowboat is so small that he can carry only one of them at a time.
If he leaves the coyote alone with the chicken, the coyote eats the chicken.
If he leaves the chicken alone with the corn, the chicken eats the corn.
How does he get all three across safely?
💡 Hint

On one of the trips, the farmer rows back with a passenger.

Reveal answer

1. Take the chicken across.
2. Go back alone.
3. Take the coyote across.
4. Bring the chicken back.
5. Take the corn across.
6. Go back alone.
7. Take the chicken across.

The chicken is the only item that conflicts with both others, so it must never be left with either of them. That’s why it goes first and last. The key move is step 4: after dropping off the coyote, the farmer brings the chicken back so it isn’t left with the coyote. Then the corn joins the coyote (a safe pair), and the chicken makes the last trip. It takes 7 crossings, and there is no shorter solution. (Swapping the coyote and the corn in steps 3 and 5 also works.)

Did you know?The oldest known version of this puzzle appears in a collection attributed to Alcuin of York, an English scholar who lived around the year 800. His version used a wolf, a goat and a cabbage. Computer scientists still use it to teach “state space search,” a method of exploring every possible situation step by step until you reach the goal.

About This Puzzle

River crossing puzzles have been around for more than a thousand years. This is our ranch-style take on the most famous one. Grab a pen; drawing the two riverbanks helps.

How to Think About It

Figure out which item is the troublemaker. The coyote and the corn can safely be left together, so the chicken is the one that causes problems with both. Also, nothing says the farmer can’t bring something back across the river.

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