If you have a 3 litre bottle, and a 5 litre bottle, how can you measure out 4 litres using only those two bottles?
- PuzzlingLv 71 month agoFavourite answer
Assuming we don't have any other containers:
Step 1 - Fill the 3 and pour it into the 5 --> 0, 3
Step 2 - Fill the 3 again and pour what you can into the 5 --> 1, 5
Step 3 - Empty the 5 and transfer the 1 into it --> 0, 1
Step 4 - Fill the 3 one more time. The total is 4 --> 3, 1
(Optional) Step 5 - If you need them in one container, pour the 3 into the 5 --> 0, 4
Step 1 - Fill the 5 and pour what you can into the 3 --> 2, 3
Step 2 - Empty the 3 and transfer the 2 into it --> 0, 2
Step 3 - Fill the 5 and pour what you can (1) into the 3 --> 4, 3
(Optional) Step 4 - Empty the 3 so you only have 4 liters --> 4, 0
- KrishnamurthyLv 73 weeks ago
If you have a 3 liter bottle, and a 5 liter bottle,
how can you measure out 4 liters using only those two bottles?
Fill the 3-liter bottle and pour it into the empty 5-liter bottle.
Fill the 3-liter bottle again, and pour enough to fill 5-liter bottle. This leaves exactly 1 liter in the 3-liter bottle.
Empty the 5-liter bottle; pour the remaining 1 liter from the 3-liter bottle into the 5-liter bottle.
Fill the 3-liter bottle and pour it into the 5-liter bottle. The 5-liter bottle now has exactly 4 liters.
- PinkgreenLv 71 month ago
assume that the 2 bottles are just different in height only.
(1) Fill up the 5-L bottle with water.
(2) Fill up the 3-L bottle with water from the 5-L bottle, what
remains in the latter is 2 Ls.
(3) Pour off some water from the 3-L bottle until it contains
the same level of water as that in the 5-L bottle.
(4) Add all water to the 5-L bottle from the 3-L bottle. Now
what in the 5-L bottle is exactly 4 Ls of water.
- PhilomelLv 71 month ago
Fill the 3.
dump it into the 5.
fill the 3.
dump it into 5.
dump the 5.
pour the 3 into the 5.(1L)
fill the 3.
dump 3 into the 5. (4L)
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- sepiaLv 71 month ago
If those are truly my only containers.
Fill 5 litre bottle.
Use 5 litre bottle to fill 3 litre bottle ( leaves 2 litres in 5 litre bottle)
Empty 3 litre bottle.
Place the remaining 2 litres from the 5 litre bottle into the 3 litre bottle. (5 litre empty, 3 litre has 2 litres)
Fill the 5 litre bottle. 5 + 2 litres
Use the 5 litre. Bottle to fill the 3 litre bottle the rest of the way. At this step the 5 litre bottle has 4 litres in it and the 3 litre bottle is full. 4 + 3
If necessary to appease the math genie asking you this question, empty the 3 litre bottle. 4 + 0.
No other container needed.
- skeptikLv 71 month ago
1: Fill the 5-liter bottle.
2: Pour that into the empty 3-liter bottle. Two liters are left in the first bottle.
3: Dump that two liters into a container.
Repeat steps 1: - 3:
You now have 4 liters in your other container.
If you don't have to just measure with the 3 and 5 liter bottles, but can't use any other containers, you can still do it, but it's a little more complicated.
1: Fill the 3-liter bottle.
2: Pour that into the empty 5-liter bottle.
3: Refill the 3-liter bottle.
4: Pour as much as you can into the partially-filled 5-liter bottle.
You now have one liter in the 3-liter bottle, and five in the 5-liter bottle.
5: Empty the 5-liter bottle.
6: Pour the one liter from the 3-liter bottle into the empty 5-liter bottle.
7: Refill the (now-empty) 3-liter bottle.
You now have one liter in the 5-liter bottle, and three in the 3-liter bottle.
8: Pour all of it into the 5-liter bottle.
There are now 4 liters in the 5-liter bottle. Success.
- VamanLv 71 month ago
What you need an empty vessel. Fill 3 lt pour it in5 lt. There will be a space or 2 lt. Fill 3 liter put it in 5 lt. You will be left with 1 lt. Pour that in 5 liters after emptying it. Then pour 3 liters again. Now you have 4 lts. You need a third vessel.
- Master ShakeLv 41 month ago
Fill 5 dump into 3, leaves you with 2 in the 5. Then just repeat for 4
- David B.Lv 71 month ago
If you have another container that will hold the 4 liters you can by filling the five-liter bottle and then pouring three liters into the other bottle. the remaining liquid is 2 liters. empty that into a vessel and repeat. You will have 4 liters as a result.
- 1 month ago
both bottles full will give you 8 litres in total...
So half both bottles