For The Mathematically Inclined

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For The Mathematically Inclined

Anil Saigal
04/18/2013

PROBLEM #1

If a chicken and a half lays an egg and a half in a day and a half, how long does it take to get a dozen eggs?

PROBLEM #2

If x/(1+x/(1+x/(1+x/(1+x/(...)))))=0.5, what is x?

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Problems from 04/11/13

PROBLEM #1

You need to warm milk in a baby bottle from its initial temperature of 15 degrees centigrade to 25 degrees. You put the bottle in a pot of boiling water which stays at constant temperature of 100 degrees. The thickness and conductivity of the bottle are such that the initial rate of heat transfer is 85 degrees per minute. However heat transfer is proportional to the difference between the temperature of the milk and the water. How many minutes will it take to heat the bottle to 25 degrees?

SOLUTION 1

PROBLEM #2

Water flows into a tank at a rate of 1 gallon per second. Water leaves the tank at a rate of 1 gallon per second for each 100 gallons in the tank. The tank is initially empty. How long will it take for the tank to fill with 50 gallons of water?

SOLUTION 2

Congratulations to Kishore Balsara and Saba Lateef, who were the winners of the last set of puzzles.

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