Monday, April 16, 2018

calculation puzzle - A Set of Water Jug Challenges


You've probably heard about challenges with water jugs, so why not try a few?



  1. Use 3- and 5- liter jugs to get 4 liters.

  2. Use 5- and 7- liter jugs to get 4 liters.

  3. This one's different. How many different exact measurements can you get using only 8- and 11- liter jugs (not including 0 liters)?

  4. Use 3- and 11- liter jugs to get 7 liters.


These numbers are made by me, so if any of these exactly match the popular ones out there (except for the first one), it is purely coincidental.



Note: accepted answer is the one that is first with all 4 correct answers.


Format to submit answer




(example with 5- and 8- liter jugs to get 6 liters)
0-0, 0-8, 5-3, 0-3, 3-0, 3-8, 5-6

Answer



The answers are:



  1. 3-0, 0-3, 3-3, 1-5, 1-0, 0-1, 3-1, 0-4.

  2. 5-0, 0-5, 5-5, 3-7, 3-0, 0-3, 5-3, 1-7, 1-0, 0-1, 5-1, 0-6, 5-6, 4-7.

  3. You can get 19 exact measurements (1 litre - 19 litres) not including 0 litre.


  4. 3-0, 0-3, 3-3, 0-6, 3-6, 0-9, 3-9, 1-11, 1-0, 0-1, 3-1, 0-4, 3-4, 0-7.


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