Problem 7: River Crossing

Here are three versions of the River Crossing problem. Be the first to solve any one of the three versions to win a prize.

Version 1:
A farmer is traveling with a lion, a sheep, and a basket of cabbages. He comes to a river and finds a small boat that holds only himself and one passenger. For obvious reasons, he can't leave the lion alone with the sheep, or the sheep with the cabbages. How does he get his cargo safely to the other side?

Version 2:
Two couples need to go across a river. They find a small boat that holds only two passengers at a time. Each jealous husband would not allow his wife to be with the other husband anywhere unless he is also present. How can they cross the river?

Version 3:
Same as version 2, but with three couples.

(Due Friday, January 11, 2008)

HSAB Problem Solving Challenge 2007-2008

Welcome to our new blog site!!

You will find a new problem posted every two weeks at this website. You may post any questions, answers to others' questions, or solutions to the problem. All solutions must be explained clearly in order to receive credits and be sure to include your full name. You can also submit your solution on a piece of paper by placing it in Ms. Hsiao's mailbox in the main office.

Up to three prizes and certificates will be awarded for different solutions to the correct answer. The top winner for the semester will receive a medallion and can qualify to attend regional and national mathematics competitions. Solutions and winners will be announced at the end of each two-week period.

Please see your math teacher or Ms. Hsiao if you have any questions. More information can be found in the display case outside the main office.