Mr. and Mrs. Webster were on a holiday shopping excursion. On their way to the car after leaving the store, Mr. Webster complained he was tired from carrying so many packages. Mrs. Webster, the kindly thing that she was, replied, “Quit your complaining Walter! If you gave me just one of your packages, I’d have twice as many as you. And if I gave you one of mine, we’d have the same.”
How many packages were Mr. and Mrs. Webster each carrying?
A snail creeps 10 feet up a wall during the daytime, then falls asleep. It wakes up the next morning and discovers it slipped down 6 feet. If this happens each day, how many days will it take to reach the top of a 20 foot wall?
A man was killed on Sunday morning. His wife found the body and called the police. The police arrived and questioned the chef, maid, butler, and gardener. Their alibis were:
Chef – making breakfast
Maid – getting mail
Butler – setting table
Gardener – watering plants
The police immediately arrested the criminal. Who was it and how did they know?
As a result of temporary magical powers, you have made it to the Wimbledon finals and are playing Roger Federer for all the marbles. However, your powers cannot last the whole match. What score do you want it to be when they disappear, to maximize your chances of hanging on for a win?
It sounds obvious that you should ask to be ahead two sets to love (it takes 3 out of 5 sets to win
the men’s), and in the third set, ahead 5-0 in games and 40-love in the sixth game. (Probably you
want to be serving, but if your serve is like mine, you might prefer Roger to be serving the sixth
game down 0-40 so that you can pray for a double fault.)
Not so fast! These solutions give you essentially 3 chances to get lucky and win, but you can
get six chances—with three services by you and three by Roger. You still want to be up two sets
to none, but let the game score be 6-6 in the third set and 6-0—in your favor, of course—in the
tiebreaker.
This problem can be solved by preschool children in five to ten minutes, by programmers in an hour and by people with higher education…well, check it yourself.