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For The Mathematically Inclined

Anil Saigal

Problem 1

There is a water-cask with three different water-taps. With the smallest tap, the water-cask can be filled in 20 minutes. With the middle tap, the water-cask can be filled in 12 minutes. With the largest tap, the water-cask can be filled in 5 minutes. What is the time required to fill the water-cask if all three taps are open simultaneously? 

Problem 2
With all the numbers 0 up to 9 (using each number exactly once), find two fractions that add up to exactly 1.


Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-121715 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. 


Problem from 12/03/15

Problem 1
Calculate the minimum outside surface of a cylindrical bucket with an open upper side, which can hold 30 liters of water.

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