Three Couples Crossing the River puzzle | MindYourLogic River Crossing Puzzle


Three couples on vacation need to cross a river to reach their hotel. They can only use a boat that holds up to two people at a time. No woman can be left alone with a man who isn’t her husband. How can they all cross the river safely while following these rules?

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The boat can only carry two people at a time. If a third person tries to board, the boat will sink.
The husbands are very jealous and cannot leave their wives alone with another man.
The boat requires at least one person to operate it from one side of the river to the other.
The goal is to determine how many trips it takes for all six individuals to cross the river safely.

 

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Solution:

Consider the three couples, each identified by their matching-colored clothes: green, red, and blue.

Green couple crosses the river first, with the green husband returning with the boat (2 moves).
The red wife and blue wife then cross the river, with the red wife returning with the boat (2 moves).
Next, the green husband and blue husband cross the river, with the blue wife returning with the boat (2 moves).
The red husband and blue husband cross the river, with the green wife returning with the boat (2 moves).
The red wife and blue wife cross the river, with the blue wife returning with the boat (2 moves).
Finally, the blue wife and red wife cross the river (1 move).
In total, this sequence requires 11 trips.

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Conclusion: The puzzle highlights the importance of strategic planning when dealing with constraints and limitations. By following a well-organized plan, the couples can all reach their destination without breaking any rules. This puzzle demonstrates how careful coordination and adherence to specific rules can solve complex logistical problems, applicable to various real-life scenarios requiring precise execution and problem-solving skills.

 

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