Answer this if u can...

Friday, February 29, 2008

1) Alice and Bob are on separate islands. Bob is sick, and Alice has the medicine. Eve has a boat and a chest that can be locked. She is willing to transport objects between Alice and Bob, but only in the chest, and if the chest is unlocked, she will steal whatever is inside. If both Alice and Bob have a padlock and a key such that their own key only opens their own lock, how can Alice send Bob the medicine so that Eve won't steal it?

2) Every day, Joe arrives at the train station from work at 6pm. His wife leaves home in her car to meet him there at exactly 6pm, and drives him home. One day, Joe gets to the station an hour early, and starts walking home, until his wife meets him on the road. They get home 20 minutes earlier than usual. How long was he walking? (HINT:Distances are unspecified. Speeds are unspecified, but constant.)

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