FOR CHILDREN

PROBLEM # 1
A car travels downhill at 72 m.p.h. (miles per hour), on the level at 63 m.p.h., and uphill at only 56 m.p.h.  The car takes 4 hours to travel from town A to town B.  The return trip takes 4 hours and 40 minutes.  Find the distance between the two towns.

FOR GROWNUPS

PROBLEM # 2

Two players bet on the total roll of two standard dice.  Player A bets that a 12 will be rolled first.  Player B bets that two consecutive 7s will be rolled first.  The players keep rolling until one player wins.  What is the probability that A will win?

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SOLUTIONS TO PROBLEMS ON 10/20/05

FOR CHILDREN

PROBLEM # 1
A carpenter enters a hardware store and wants to buy a specific number of pounds of nails for his business. The first store he enters sells his favorite sized nails at 9 cents per pound. At this price, the carpenter realized that he would be short 1215 pennies if he tried to buy the nails. The carpenter goes to a competing hardware store and finds that the nails sell for 6 cents a pound. He realizes that after paying for the nails, he would have 345 pennies left over. How many pounds of nails is he trying to buy?

SOLUTION
520.

FOR GROWNUPS

PROBLEM # 2
What is the limit of x tending to 0 of (1-cos5x)/(1-cos7x).

SOLUTION
25/49.

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