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# A rope 20.6 meters long is cut into two pieces

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Re: A rope 20.6 meters long is cut into two pieces [#permalink]
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

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Re: A rope 20.6 meters long is cut into two pieces [#permalink]
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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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Re: A rope 20.6 meters long is cut into two pieces [#permalink]
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]
for those that prefer to visualize
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Re: A rope 20.6 meters long is cut into two pieces [#permalink]
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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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A rope 20.6 meters long is cut into two pieces [#permalink]
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

Why would we do math when we can look at the answer choices and ballpark?

There are two segments. If they were the same length, they'd each be 10.3m. One is longer. We want the length of the longer. It has to be longer than 10.3.

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

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Re: A rope 20.6 meters long is cut into two pieces [#permalink]
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Re: A rope 20.6 meters long is cut into two pieces [#permalink]
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