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Mathematical Puzzles
You have a 13 gallon bucket, an 18 gallon bucket...

 
Sun Oct 26, 2008 5:16 am  by tartle

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.
 
   
Sat Nov 01, 2008 8:21 pm  by Steviem

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
 
   
Sun Dec 27, 2009 2:24 pm  by dilip.patidar

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.
 
   
Tue Mar 31, 2015 4:29 am  by Mr_dumbo

duuuuuh

0+13-12=1

u guys aer so sily, bily :lol: :lol: :lol: :lol: :lol: :lol:
 
   
Fri Jul 15, 2016 8:42 am  by bathfilms

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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