For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
04/07/2016

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?

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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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