**Water Pails Puzzle - 8 August**

If you had an infinite supply of water and a 5 quart and 3 quart pails, how would you measure exactly 4 quarts? and What is the least number of steps you need?

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If you had an infinite supply of water and a 5 quart and 3 quart pails, how would you measure exactly 4 quarts? and What is the least number of steps you need?

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fill 5..

ReplyDeletetransfer to 3.. (2 left in 5 quart)

empty 3..

now transfer the remaining 2 to 3 quart pail..

fill 5 again..

fill 3 quart pail with the water in the 5 quart pail.. (it takes only 1 as it is already having 2)

now 5 quart one is left with exactly 4.

fill 3

ReplyDeletetransfer to 5

fill3 and transfer to 5 (i quart have in 3)

empty 5

now transfer 3 to 5 (i quart have in 5)

fill 3

transfer to 5 (now we have 4 quart in 5)

First fill 3 , transfer to 5

ReplyDeletethen, again fill 3 and transfer to 5 and fill it.

now 3 has 1 remaining, now transfer it to empty 5.

fill 3 and again transfer to 5.

now 5 has 4.

First fill 3 lt can and pour it in 5 lt can.

ReplyDeletethen again take another 3 lt of water and pour it in 5 lt can. 1 lt of water is left in 3 lt can.

Empty the 5 lt can.

Pour the remaining 1 lt in 5 lt can then 3 lt of water into it.

how abt we fill both 5lt & 3lt half each.... and that would make 4lt. though the error can be on a higher side in this case......

ReplyDeleteFill both, the 5lt and 3lt pail. put the 3lt pail inside the 5lt pail. on litter will drain out leaving exactly 4lts.

ReplyDeleteFill 5lt and put in 3lt. pour the 3lt and replace remaining 2lt to 3lt

ReplyDeletenow fill 5lt and fill 3lt

thats it!

Fill 5lt 2 times and remove 3lt two times we get 4 lts

ReplyDeleteFill 3 quart - transfer 3quart into 5 quart pail

ReplyDeleteFill 3 quart - transfer 2quart into 5 quart pail

(now 3 quart pail contains 1 quart water)

Empty 5 quart pail

Tranfer 1 quart from 3 quart pail into 5 quart pail

Fill 3 quart pail

Transfer 3 quarts from 3 quart pail into 5 quart pail - giving 4 quarts water

Well, here is a more complicate one:

ReplyDeleteYou've got three petrol tanks, one can contain 8 gallons, the other 5 and the third 3 gallons. What do you do in order to be 4 gallons in the first, 2 gallons in the second and 2 gallon in the third?

Minimum of 6 steps

ReplyDelete1. Fill the 5 quart bucket (5 in the 5 quart, 0 in the 3 quart)

2. Fill the 3 quart using the 5 quart (2 in the 5 quart, 3 in the 3 quart)

3. Empty the 3 quart bucket (2 in the 5 quart, 0 in the 3 quart)

4. Pour the 2 quarts in the 5 quart into the 3 quart (0 in the 5 quart, 2 in the 3 quart)

5. Fill the 5 quart again (5 in the 5 quart, 2 in the 3 quart)

6. Fill the 3 quart (currently has 2 quarts) with the 5 quart)

You now have exactly 4 quarts in the 5 quart bucket.

Step 1. Fill the 5 quart bucket with water.

ReplyDeleteStep 2. Put the empty 2 quart bucket into the full 5 quart bucket. 3 quarts of water will spill from the largest bucket leaving 2 quarts remaining. Pour the 2 quarts of water into the smaller pail.

Step 3. Fill the 5 quart bucket with water.

Step 4. Put the empty 2 quart bucket into the full 5 quart bucket. 3 quarts of water will spill from the largest bucket leaving 2 quarts remaining. Pour the 2 quarts of water from the smaller pail into the larger pail.

You now have 4 quarts of water in the large pail.

(This may be a bit more complicated than other tactics, but it works fast.)

1. Fill 5 qt. jug

ReplyDelete2. Pour 5 qt. jug to 3 qt. jug

3. Empty 3 qt. jug

4. Pour 5 qt. jug to 3 qt. jug

5. Fill 5 qt. jug

6. Pour 5 qt. jug to 3 qt. jug