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2024 Author: Malcolm Clapton | [email protected]. Last modified: 2023-12-17 03:44
Help the new settler Peter to cope with containers and liquids.
Problem 1
The hospitable Peter invited his friends to a housewarming party and promised to give them his signature fruit drink. To make a drink, the guy needs to pour 4 liters of water into a 5-liter saucepan. Unfortunately, in Peter's uninhabited kitchen, there is only a 3-liter jar besides the saucepan.
How to measure exactly 4 liters using the available containers? Peter can use a tap to draw water and a sink to pour unnecessary liquid into it.
Here's what Peter needs to do:
1. Take a jar, fill it, pour 3 liters into a saucepan.
2. Fill the jar again and pour into the pan as much liquid as will fit, that is, another 2 liters. After that, 1 liter will remain in the jar, and 5 liters will remain in the pan.
3. Pour all the water from the pot into the sink.
4. Transfer 1 L from the jar to the saucepan.
5. Fill a jar and pour water from it into a saucepan. The pot now contains exactly 4 liters. Voila! The evening is saved.
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Problem 2
A week after the housewarming, Peter called his friends again. This time he cooked up an 8-liter pot of fruit drink. One of the guests liked the drink so much that good-natured Peter decided to give him 4 liters with him. The guy never got hold of the dishes, so he will have to pour using 3-liter and 5-liter jars. How should Peter act? Morse must not be spilled.
Here's how Peter should proceed:
1. Pour the fruit drink into a 3-liter jar, from there transfer the liquid to a 5-liter jar, refill the smaller jar again.
2. Pour fruit drink from a 3-liter can into a 5-liter can until it is full. In a 3-liter jar, 1 liter will remain, in a saucepan - 2 liters.
3. Pour 5 L from a large jar into a saucepan and 1 L into a 5 L jar. The pot will then contain 7 liters.
4. Transfer 3 L from a saucepan to a smaller jar. The pot now contains exactly 4 liters. Voila! The guest is satisfied.
Peter can act in a different way:
1. Pour fruit drink into a 5-liter jar, leave 3 liters in a saucepan.
2. Transfer from a large jar to a smaller 3L jar, then pour them into a saucepan. After that, there will be 6 liters in the pan, and 2 liters will remain in the large jar.
3. Pour 2 liters into a smaller jar, fill the large one to the top. After that, 1 liter will remain in the pan.
4. Top up from a large can into a smaller one. It already had 2 liters, which means that another 1 liter will fit. After that, 4 liters will remain in the large jar.
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The originals of the problems can be viewed.
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