rookie1ja Posted March 30, 2007 Report Share Posted March 30, 2007 Pouring water V. - Back to the Water and Weighing Puzzles Measure exactly 2 liters of water if you have: 1. 4 and 5-liter bowls 2. 4 and 3-liter bowls This old topic is locked since it was answered many times. You can check solution in the Spoiler below. Pls visit New Puzzles section to see always fresh brain teasers. Pouring Water V. - solution 1st Fill the 5-litre bowl, overspill water from it to fill the 4-litre bowl, which you empty afterwards. Overspill the remaining 1 litre to the 4-litre bowl. Refill the 5-litre bowl and overspill water from it to fill the 4-litre bowl (where there is already 1 litre). Thus you are left with 2 litres in the 5-litre bowl. 2nd The same principle – this time from the other end. Fill the 3-litre bowl and overspill all of the water to the 4-litre bowl. Refill the 3-litre bowl and fill the 4-litre bowl to the top. And there you have 2 litres in the 3-litre bowl. Link to comment Share on other sites More sharing options...
Guest Posted May 8, 2007 Report Share Posted May 8, 2007 You can solve both sets of buckets from both small-to-big and big-to-small. The green water is your solution, and the blue water is the alternate solution. My first solutions were the green solution for the 5/4 set and the blue solution for the 4/3 set. In both cases, your solution is faster, but I thought it interesting to note that you can do it either way. Link to comment Share on other sites More sharing options...
rookie1ja Posted May 9, 2007 Author Report Share Posted May 9, 2007 Good picture - speaks more than a thousand words Link to comment Share on other sites More sharing options...
Guest Posted June 11, 2007 Report Share Posted June 11, 2007 fill the 5 liter up and pour it in the 3 liter. The over flow is 2 liters. There are many ways to solve this one. Link to comment Share on other sites More sharing options...
Guest Posted June 20, 2007 Report Share Posted June 20, 2007 coolastro1016, im new here but the problem clearly states two different problems so using the 5 and 3 liters is impossible since they arent on the same problem together Link to comment Share on other sites More sharing options...
Guest Posted August 20, 2007 Report Share Posted August 20, 2007 Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally. Link to comment Share on other sites More sharing options...
Guest Posted August 28, 2007 Report Share Posted August 28, 2007 Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally. Excellent answer! Almost all buckets are symmetrical, so this will work. Link to comment Share on other sites More sharing options...
Guest Posted September 10, 2007 Report Share Posted September 10, 2007 Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally. Er, most buckets are tapered, aren't they?, and so this would not work at all. Or have I misunderstood your suggestion? Link to comment Share on other sites More sharing options...
Guest Posted September 12, 2007 Report Share Posted September 12, 2007 Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally. Er, most buckets are tapered, aren't they?, and so this would not work at all. Or have I misunderstood your suggestion? You haven't misunderstood; you're just under the assumption that skbrown's solution won't work with a tapered bucket. It will, as long as it's symmetrical. Link to comment Share on other sites More sharing options...
Guest Posted September 23, 2007 Report Share Posted September 23, 2007 Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally. Er, most buckets are tapered, aren't they?, and so this would not work at all. Or have I misunderstood your suggestion? You haven't misunderstood; you're just under the assumption that skbrown's solution won't work with a tapered bucket. It will, as long as it's symmetrical. This is not true! If it were a cylinder it would work. If it's tapered, it will not. Consider the extreme example of a bucket tapered to a point - you get a cone. How do you know when to stop pouring? Besides, we have BOWLS not buckets, which suggests an entirely different shape to me. Symmetrical or not, this method does not work with standard bowl or bucket shapes. Link to comment Share on other sites More sharing options...
Guest Posted September 23, 2007 Report Share Posted September 23, 2007 Scenario 1: 4 and 5 litre bowls.... Fill the 5[-litre bowl], pour 4 litres into the 4[-litre bowl]; 1 litre remains in the 5. Empty the 4 and put the 1 litre into the 4. Refill the 5, pour into the 4 until full. 2 litres remain in the 5. Scenario 2: 4 and 3 litre bowls.... Fill the 4, pour 3 litres into the 3; 1 litre remains in the 4. Empty the 3, pour the 1 litre into the 3. Refill the 4, pour into the 3 until full. 2 litres remain in the 4. So exactly the same method, basically, but if I abstracted it with variables for smaller and larger bowls, it would probably be less clear. Somewhat fewer than 1000 words.... Link to comment Share on other sites More sharing options...
Guest Posted December 13, 2007 Report Share Posted December 13, 2007 The question is poorly worded. Among other things, it does not make clear that you only have each of the two differently sized bowls. Link to comment Share on other sites More sharing options...
Guest Posted January 29, 2008 Report Share Posted January 29, 2008 Er, most buckets are tapered, aren't they?, and so this would not work at all. Or have I misunderstood your suggestion? You haven't misunderstood; you're just under the assumption that skbrown's solution won't work with a tapered bucket. It will, as long as it's symmetrical. This is not true! If it were a cylinder it would work. If it's tapered, it will not. Consider the extreme example of a bucket tapered to a point - you get a cone. How do you know when to stop pouring? Besides, we have BOWLS not buckets, which suggests an entirely different shape to me. Symmetrical or not, this method does not work with standard bowl or bucket shapes. ok... maths says he's right... but i sure liked the answer... Link to comment Share on other sites More sharing options...
Guest Posted April 15, 2008 Report Share Posted April 15, 2008 You can solve both sets of buckets from both small-to-big and big-to-small. The green water is your solution, and the blue water is the alternate solution. My first solutions were the green solution for the 5/4 set and the blue solution for the 4/3 set. In both cases, your solution is faster, but I thought it interesting to note that you can do it either way. really nice solution by fosley i got the solution but i appreciate more the alternate ones. Link to comment Share on other sites More sharing options...
Guest Posted May 2, 2008 Report Share Posted May 2, 2008 fill the 5 liter up and pour it in the 3 liter. The over flow is 2 liters. There are many ways to solve this one. ---------------------------------------------------------------------------------------------------------------------------------------------- jus stop when the 3 liter bowl filled Link to comment Share on other sites More sharing options...
Guest Posted May 4, 2008 Report Share Posted May 4, 2008 (edited) 4 & 5 capacity, resolve to 2 A=4 size B=5 size A - B is 0 - 0 Fill B(+5) 0 - 5 Pour B(-4) in to A(+4) 4 - 1 Dump A(-4) 0 - 1 Pour B(-1) in to A(+1) 1 - 0 Fill B(+5) 1 - 5 Pour B(-3) in to A(+3) 4 - 2 Edited May 4, 2008 by firepumpguy Link to comment Share on other sites More sharing options...
Guest Posted May 4, 2008 Report Share Posted May 4, 2008 (edited) 3 & 4 capacity, resolve to 2 A=3 size B=4 size A - B is 0 - 0 Fill B(+4) 0 - 4 Pour B(-3) in to A(+3) 3 - 1 Dump A(-3) 0 - 1 Pour B(-1) in to A(+1) 1 - 0 Fill B(+4) 1 - 4 Pour B(-2) in to A(+2) 3 - 2 Very interesting that the steps with sizes 3 & 4 are the same as those of sizes 4 & 5. Edited May 4, 2008 by firepumpguy Link to comment Share on other sites More sharing options...
Guest Posted July 3, 2008 Report Share Posted July 3, 2008 1. fill the 4, put in the 5, fill four put as much as u can in five leaveing 3litres in the 4 then empty the 5 and put it in the 3 litres from the 4 in the 5 then fill the 4 and pour into 5 leaving 2 in the 4 2.fill the 3 pour into 4 fill 3 pour into 4 leaving 2 in the 3 Link to comment Share on other sites More sharing options...
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