103. You Have a 13 Gallon Bucket, an 18 Gallon Bucket...
You have a 13 gallon bucket, an 18 gallon bucket, and an endless supply of water. You need to measure out exactly 1 gallon of water, using only these tools. (Neither bucket has any markings on it for measuring.) How do you do it? Explain your answer.
Submitted by tartle · Added 25 October 2008
Solution:
Fill the 13-gallon bucket completely and pour it into the 18-gallon bucket. Fill the 13-gallon bucket again and pour water into the 18-gallon bucket until it is full. Since the 18-gallon bucket already has 13 gallons, it can only take 5 more gallons. This will leave exactly 1 gallon of water in the 13-gallon bucket.
Comments (4)
By filling and emptying the two buckets and retaining the difference in volume and passing that between the two buckets after 22 pourings you end up with 1 gallon by itself.
First figure is volume in 18 Gallon Bucket and Second figure is 13 G/B
0 / 13
13 / 0
13 / 13
18 / 8
0 / 8
8 / 0
8 / 13
18 / 3
0 / 3
3 / 0
3 / 13
16 / 0
16 / 13
18 / 11
0 / 11
11 / 0
11 / 13
18 / 6
0 / 6
6 / 0
6 / 13
18 / 1
0 / 1
13*7 = 91
18*5 = 90
91-90 = 1.
Empty the 13 gallon bucket in 18 gallon bucket 7 times, finally 1 gallon will be left in 13 gallon bucket according to the above calculation.
duuuuuh
0+13-12=1
u guys aer so sily, bily :lol: :lol: :lol: :lol: :lol: :lol:
I concur with Steviem's solution.
(I don't know where Mr Dumbo found his magic 12!)
If I call the 13 gallon bucket 'A'
and the 18 gallon bucket 'B'
then use the following terminology:
A1 means "fill A"
AB means "transfer all of A to B"
B0 means "empty B"
here is the sequence of actions required:
1) A1 AB A1 AB B0
2) Repeat STEP (1) 3 more times
3) AB A1 AB
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