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If a rope is cut into three pieces of unequal length, what

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If a rope is cut into three pieces of unequal length, what [#permalink] New post 29 Nov 2004, 19:12
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E

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If a rope is cut into three pieces of unequal length, what is the length of the shortest of these pieces of rope?
(1) The combined length of the longer two pieces of rope is 12 meters.
(2) The combined length of the shorter two pieces of rope is 11 meters.
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 [#permalink] New post 29 Nov 2004, 19:32
E, there is no way to figure out the three individual lengths.
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 [#permalink] New post 29 Nov 2004, 19:35
I thought that

6.2
5.8
5.2

was the only possibility
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 [#permalink] New post 29 Nov 2004, 19:42
use variables when solving these kind of problems, they will help. :)
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DS More [#permalink] New post 30 Nov 2004, 01:39
E

Let’s call the fragments a, b, c where a>b>c

(1) a + b =12

(2) b + c = 11

Therefore c – a = 1

There are many solutions(6.1, 5.9, 5.1 or 6.3, 5.7, 5.3, etc), but I’ve plugged in and realised that a,b,c can’t have any possible value. The only possible values have to fulfil the conditions above and be within certain ranges:

6<a<6.5
5.5<b<6
5<c<5.5
DS More   [#permalink] 30 Nov 2004, 01:39
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If a rope is cut into three pieces of unequal length, what

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