For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
12/17/2015

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.

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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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