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Pouring water III.


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40 replies to this topic

#21 DaveyandHolly

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Posted 25 March 2008 - 09:49 PM

700/403/430/133/142/502/520/223

done
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#22 azdynamix

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Posted 28 March 2008 - 01:51 AM

7-0-0 is original set up
Pour 7 liter into 3 liter..... Leaving 4-0-3
Pour 3 liter to 4 liter.....leaves 4 liter, 3 liter, 0 liter
Pour 7 Liter to 3 liter....leaves 1 liter, 3 liter, 3liter
Pour 3 Liter to 4 liter....Leaves 1 liter, 4 liter, 2 liter
Pour 4 Liter to 7 Liter.....Leaves 5 liter, 0 liter, 2 liter
Pour 3 Liter to 4 liter.....Leaves 5 liter, 2 liter, 0 liter
Pour 7 Liter to 3 Liter.....Leaves 2 liter, 2 liter, 3 liter

7 moves
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#23 wasanhm

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Posted 14 April 2008 - 08:14 PM

Pouring water III. - Back to the Water and Weighing Puzzles
Having three bowls: 7, 4 and 3 litres capacity. Only the 7-litre is full. Pouring the fewest times gain the quantity of 2, 2 and 3 litres.


Spoiler for Solution



Place the 3 inside the 4. Pour outside the 3 leaving one liter inside the 4. Remove the 3 and pour the one liter from the 4 into the 3. Replace the 3 inside the 4 and again pour outside the 3 leaving one liter inside the 4. Remove the 3 and pour the contents of 3 into the 4. This will leave 2 liters in the four and 5 liters in the 7. Pour the 3 full from the 7 leaving you with two liters in the 7, two liters in the 4 and the 3 is full.

5 pours
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#24 Krishan

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Posted 15 April 2008 - 08:38 PM

you can't do 133 without doing 430...
i did 700, 403, 430, 133, 142, 520, 223.


Your last 2 pours are wrong. You cannot get 520 directly from 142.
Capacity (<Actual water in bowl>)
142 = 7(1), 4(4), 3(2)
502 = 7(5), 4(0), 3(2)
520 = 7(5), 4(2), 3(0)
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#25 Jarod997

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Posted 02 May 2008 - 05:01 PM

I too did this originally in seven steps, as previously stated:

700, 403, 430, 133, 142, 502, 520, 223

Didn't quite get the six. Interesting how these two solutions are quite a bit different from each other.
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#26 firepumpguy

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Posted 03 May 2008 - 11:56 PM

Three Tanks: 7,000,000 gallon, 4,000,000 gallon & 3,000,000 gallon

Only the 7,000,000 gallon tank is full, the other tanks are empty. Not spending too much time or energy, distribute the water to be 2,000,000, 2,000,000 & 3,000,000 gallons per tank.

7 - 0 - 0
(-4, +4, +0)

3 - 4 - 0
(+0, -3, +3)

3 - 1 - 3
(+3, +0, -3)

6 - 1 - 0
(+0, -1, +1)

6 - 0 - 1
(-4, +4, +0)

2 - 4 - 1
(+0, -2, +2)

2 - 2 - 3

Whew! That was a lot of work! I only had a 5 gallon bucket.....

Edited by firepumpguy, 04 May 2008 - 12:05 AM.

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#27 willthethrill

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Posted 24 May 2008 - 02:44 AM

guys the admin is wrong here is the solution in plain english

start, 7 0 0
pour #1, pour 7 into the 4
making, 3 4 0
pour #2, pour the 4 into 3
making, 3 1 3
pour #3, pour 3 back into 7
making, 6 1 0
pour #4, pour 4 into 3
making, 6 0 1
pour#5, pour 7 into 4
making, 2 4 1
pour#6, pour 4 into 3
making, 2 2 3

6 moves, I hope you can do simple math.
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#28 willthethrill

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Posted 24 May 2008 - 02:48 AM

correction, the admin is right, I hope everyone can see the solution

guys the admin is wrong here is the solution in plain english

start, 7 0 0
pour #1, pour 7 into the 4
making, 3 4 0
pour #2, pour the 4 into 3
making, 3 1 3
pour #3, pour 3 back into 7
making, 6 1 0
pour #4, pour 4 into 3
making, 6 0 1
pour#5, pour 7 into 4
making, 2 4 1
pour#6, pour 4 into 3
making, 2 2 3

6 moves, I hope you can do simple math.


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#29 day090

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Posted 28 May 2008 - 03:10 PM

may be i am dumb, but why cant you do it like this....

7-0-0
3-4-0
2-4-1
2-2-3

or

7-0-0
3-4-0
3-2-2
1-2-3


appreciate any input
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#30 Martini

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Posted 02 June 2008 - 02:58 AM

may be i am dumb, but why cant you do it like this....

7-0-0
3-4-0
2-4-1
2-2-3

Because on your third step (2-4-1) you have poured exactly 1 litre into a bowl with a 3 litre capacity that was poured from a 7 litre capacity bowl with 3 litres in it. Estimating is not allowed.

or

7-0-0
3-4-0
3-2-2
1-2-3


appreciate any input

On the third step, you have poured 2 litres from a filled 4 litre bowl into a bowl with a 3 litre capacity. (You also mistakenly wrote 1-2-3 for the end result instead of 2-2-3.)
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