For The Mathematically Inclined


Anil Saigal 11/29/2005
FOR CHILDREN
PROBLEM # 1 How long will it take a mile long train going 15 miles per hour to get completely through a mile long tunnel?
FOR GROWNUPS
PROBLEM # 2 What is the value of: 0.5 x sqrt(42+sqrt(42+sqrt(42+sqrt(42+...))))

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If you need clarification on any problem, please contact anil@lokvani.com.
 SOLUTIONS TO PROBLEMS ON 11/17/05
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. SOLUTION 273 miles.
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?
SOLUTION 0.5.
Congratulations
to Sandeep Bansal, Amit Dhulesia, Shailesh Goregaokar, Pranav Jumar,
Jessica Linhart and Raghuram Manickam, who were winners of the last set
of puzzles.

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