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A rope 20.6 meters long is cut into two pieces
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nalinnair
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A rope 20.6 meters long is cut into two pieces [#permalink] New post  22 May 2016, 21:14
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A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?

A. 7.5
B. 8.9
C. 9.9
D. 10.3
E. 11.7
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OptimusPrepJanielle
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Re: A rope 20.6 meters long is cut into two pieces [#permalink] New post  22 May 2016, 22:57
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nalinnair wrote:
A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?

A. 7.5
B. 8.9
C. 9.9
D. 10.3
E. 11.7


Length of the rope = 20.6 meters.
Assume length of longer piece = x meters.
Length of shorter piece = x - 2.8

We know that x + x - 2.8 = 20.6
2x = 23.4
Length of the longer piece = x = 11.7 meters

Correct Option: E
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Bunuel
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Re: A rope 20.6 meters long is cut into two pieces [#permalink] New post  23 May 2016, 01:23
Expert Reply
nalinnair wrote:
A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?

A. 7.5
B. 8.9
C. 9.9
D. 10.3
E. 11.7



Similar question to practice: a-rope-40-feet-long-is-cut-into-two-pieces-if-one-piece-is-137872.html
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ScottTargetTestPrep
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Re: A rope 20.6 meters long is cut into two pieces [#permalink] New post  23 Apr 2019, 19:09
Expert Reply
nalinnair wrote:
A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?

A. 7.5
B. 8.9
C. 9.9
D. 10.3
E. 11.7


Let’s let x = the length of the longer piece of rope. We can create the equation:

x + x - 2.8 = 20.6

2x = 23.4

x = 11.7

Answer: E
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gatz
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Re: A rope 20.6 meters long is cut into two pieces [#permalink] New post  29 Jan 2020, 20:56
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This question can be answered within 30 seconds without any calculation or algebraic formulas.
Take a look at the answer choices.
A, B, and C are less than half (10.3), hence wrong. Eliminate
D is half (10.3), hence wrong. Eliminate
E is the only answer choice that is longer than half and that is our correct answer choice.
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Farina
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Re: A rope 20.6 meters long is cut into two pieces [#permalink] New post  24 Feb 2020, 01:03
Just divide the rope equally into 2 parts i.e. 20.6/2 = 10.3
Each part is of 10.3 meters but it says one rope is longer, means it will be more than half and only one option we have i.e. 11.7 option E
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Re: A rope 20.6 meters long is cut into two pieces [#permalink] New post  13 Aug 2020, 03:04
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