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For The Mathematically Inclined

Anil Saigal

Problem 1

Find a Fibonacci number whose decimal representation ends in nine nines?

Problem 2

A swimmer jumps from a bridge over a canal and swims 1 mile upstream. After that first kilometer, he passes a floating cork. He continues swimming for another hour and then turns around and swims back to the bridge. The swimmer and the cork arrive at the bridge at the same time. The swimmer has been swimming with constant speed. How fast does the water in the canal flow?


Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-040716 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. 


Problems from 03/24/16

Problem 1
The circumference of the Earth is approximately 40,000 kilometers, and someone has just made a metal band that circles the Earth, touching the ground at all locations. You come along at night  and add just 10 meters to its length (one hundredth of one kilometer). It is now one four-millionth longer, and sits magically just above the ground at all locations. How far has it risen?

Congratulations to Aseem Chandawarkar and Amit Lele, who were the winners of last set of puzzles.

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