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For The Mathematically Inclined

Anil Saigal
12/09/2005

FOR CHILDREN

PROBLEM # 1
Each tire for my monster truck will last exactly 14,000 miles. How many spares do I need so I can use the fewest number of tires in a total of 21,000 miles?  Explain how you got your answer.

FOR GROWNUPS

PROBLEM # 2
You begin to solve a complicated math problem between 4:00 and 5:00 p.m. when the clock's hour and minute hands are together (on top of each other). You finish the problem when the minute hand is exactly opposite the hour hand.
(Please try to answer to the nearest second!)

Part 1: How many minutes does it take you to solve the problem?
Part 2: At what time do you finish the problem?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-121505 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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SOLUTIONS TO PROBLEMS ON 12/01/05

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?

SOLUTION
8 minutes.

FOR GROWNUPS

PROBLEM # 2
What is the value of:
0.5 x sqrt(42+sqrt(42+sqrt(42+sqrt(42+...))))

SOLUTION
3.5.


Congratulations to Sandeep Bansal, Aseem Chandawarkar, Kiruba Dharaneeswaran, Shailesh Goregaokar, Pankaj Jain, D.P. Joshi, Amol Mehta, Bipin Parekh, Arun Saigal and Dharmesh Thakkar, who were winners of the last set of puzzles.



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