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Puzzle | Taking 2-2 Liters of Water

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The premise of the puzzle is as follows: You have two bottles that are packed with 10 liters of water each. Your goal is to take 2 liters of water in two empty bottles of 4 liters and 5 liters, respectively. However, there is a catch – you can only use four bottles that are packed with 10 liters of water, packed with 10 liters of water, an empty bottle of 5 liters, and an empty bottle of 4 liters to switch the water. Throwing or wasting water is not allowed.

Taking 2-2 Liters of Water

Solution:

This is a classic water-pouring puzzle that requires some creative thinking to solve. Here’s one way to do it:

  • At the initial state, we have two bottles filled with 10 liters of water and one empty bottle of 4-liter, and one empty bottle of 5-liter.
  • Now let us name the first 10-liter bottle as A, 2nd 10-liter bottle as B, the third 4-liter bottle as C, and the fourth 5-liter bottle as D.
  • Transfer 5-liter water from Bottle B to Bottle D.
  • Now, transfer water from Bottle D to Bottle C.
  • Now, empty water from Bottle C to Bottle B which makes it 9 liters in it.
  • Transfer leftover water from Bottle D to C.
  • Transfer water from Bottle A to D, which makes 5 liters in both bottles.
  • Now transfer the water from bottle D to Bottle C and make it full that is Bottle C = 4 liters filled.
  • Now Bottle D is left with 2 liters of water and therefore we achieve one bottle filled with only 2 liters of water.
  • Now transfer complete water from Bottle C to Bottle B and make it completely full.
  • This way we are left with only 2 liters in Bottle C, 10 liters in Bottle B, and 6 liters in bottle A.
  • Therefore, we have achieved 2nd bottle with 2 liters of water only.

Below are the steps to solve the above problem:

Taking 2-2 Liters of Water

By following these steps, you will be able to achieve your goal of having 2 liters of water in the empty bottle of 5 liters and 2 liters of water in the empty bottle of 4 liters. You have not wasted any water and have followed the rules of the puzzle.


Last Updated : 16 Feb, 2023
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