You have three 2-liter jars, call them 1, 2 & 3. Each jar has 1 liter of a different liquid in it - so:

Jar 1 - has liquid A

Jar 2 - has liquid B

Jar 3 - has liquid C.

Your task, pour 1/2 liter from Jar 1 into Jar 2. Now pour 1/2 liter of the mix from Jar 2 to Jar 3. Now pour 1/2 of the mix from Jar 3 back into Jar 1. Assume when you pour, you pour exactly 1/2 liter and the liquid mixes perfectly each time.

Question - how often must you repeat the round of pourings (1 to 2, 2 to 3, 3 back to 1) until each jar holds EXACTLY 1/3 of each of the original liquids?

## Question

## Guest

You have three 2-liter jars, call them 1, 2 & 3. Each jar has 1 liter of a different liquid in it - so:

Jar 1 - has liquid A

Jar 2 - has liquid B

Jar 3 - has liquid C.

Your task, pour 1/2 liter from Jar 1 into Jar 2. Now pour 1/2 liter of the mix from Jar 2 to Jar 3. Now pour 1/2 of the mix from Jar 3 back into Jar 1. Assume when you pour, you pour exactly 1/2 liter and the liquid mixes perfectly each time.

Question - how often must you repeat the round of pourings (1 to 2, 2 to 3, 3 back to 1) until each jar holds EXACTLY 1/3 of each of the original liquids?

## Link to post

## Share on other sites

## 9 answers to this question

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.