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# A rope 40 feet long is cut into two pieces. If one piece is

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Joined: 02 Sep 2009
Posts: 47981
A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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26 Aug 2012, 03:05
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Difficulty:

5% (low)

Question Stats:

88% (00:36) correct 12% (00:43) wrong based on 901 sessions

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A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A) 9
(B) 11
(C) 18
(D) 22
(E) 29

Practice Questions
Question: 29
Page: 156
Difficulty: 550

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Posts: 47981
Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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26 Aug 2012, 03:06
SOLUTION:

A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A) 9
(B) 11
(C) 18
(D) 22
(E) 29

Say the length of the shorter piece is $$x$$ feet, then the length of the longer piece would be $$x+18$$ feet. Since the length of the rope is 40 feet, then $$x+(x+18)=40$$ --> $$x=11$$.

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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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26 Aug 2012, 08:18
Let x be the length of the shorter one.
The longer one will be x+18
Therefore, x+x+18=40..> x=11

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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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27 Aug 2012, 11:10
x+x+18 = 40.
So x=11 feet.
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Posts: 47981
Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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31 Aug 2012, 02:03
SOLUTION:

A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A) 9
(B) 11
(C) 18
(D) 22
(E) 29

Say the length of the shorter piece is $$x$$ feet, then the length of the longer piece would be $$x+18$$ feet. Since the length of the rope is 40 feet, then $$x+(x+18)=40$$ --> $$x=11$$.

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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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10 Nov 2012, 03:26
Or
(40-s)-s = 18
s = 11
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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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19 Dec 2012, 03:36
Let s be the shorter piece
Let the longer piece be s + 18

$$s + s + 18 = 40$$
$$2s + 18 = 40$$
$$2s = 40 - 18 = 22$$
$$s = 11$$

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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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26 May 2014, 03:08
A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A) 9
(B) 11
(C) 18
(D) 22
(E) 29

Solution:

Since, 40 is the total length. Smaller is any one from answers.
Try Back solving from Middle answer, i.e. 18. 18+(18+11) = 47 > 40
Hence, Select next smaller no. : 11 +(11+18) =40. So, 11 is the answer
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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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27 May 2014, 03:21
Longer piece: x+18
Shorter piece: x

x+18 + x = 40
2x+18 = 40
x = 11
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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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10 Sep 2014, 03:37
Bunuel wrote:
A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A) 9
(B) 11
(C) 18
(D) 22
(E) 29

Practice Questions
Question: 29
Page: 156
Difficulty: 550

let one piece be x feet long then the other piece will be x+18 .

total =40

x+x+18 = 40
2x=22
x=11.
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A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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03 Oct 2014, 03:43
Here's another solution hope it helps.

Let x be the length of the longer piece. Therefore (40-x) is the length of the shorter piece.

Also given that the longer piece is 18 feet greater than the shorter one

--> x=(40-x) +18
--> 2x=58
--> x =29

Therefore shorter piece = 40-29 =11
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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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16 Nov 2014, 08:32
I eliminated immediatly answers D & E since they're impossible, any smaller lenght can't be larger than half the rope.
Then I took the middle choice/value of the three (A,B,C) left (So B) if the side is elven does that match. Even if it doesn't match you get the answer right away since it then must be either bigger or smaller than the number you plug in, which is exactly what options A and C are. In this case option B matched.
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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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20 Nov 2014, 01:55
Twice of the "correct OA" + 18 = 40 should be the length of the shorter piece

Options C, D, E can be ignored as they compute > 40

Only 11 fits in

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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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25 May 2016, 07:17
Bunuel wrote:
A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A) 9
(B) 11
(C) 18
(D) 22
(E) 29

To solve this problem, we start by setting up two variables for the lengths of the long and short pieces of rope.

L = the length of the longer piece of rope

S = the length of the shorter piece of rope

We are given that the rope is 40 feet long. Translating this into an equation we have:

L + S = 40

Next we are given that one piece is 18 feet longer than the other. Translating this into an equation we have:

L = 18 + S

We can now substitute 18 + S from the second equation for L in the first equation. We have:

18 + S + S = 40

2S = 22

S = 11

The shorter piece of rope is 11 feet.

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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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25 May 2016, 08:48
Bunuel wrote:
A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A) 9
(B) 11
(C) 18
(D) 22
(E) 29

Practice Questions
Question: 29
Page: 156
Difficulty: 550

x+x+18= 40
2x= 22
x= 11

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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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12 Feb 2018, 12:11
A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A) 9
(B) 11
(C) 18
(D) 22
(E) 29

The first rope cut = x, and the second rope cut = x+18,
x+(x+18) =40
2x = 40 - 18
2x =22
x=11
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Re: A rope 40 feet long is cut into two pieces. If one piece is  [#permalink]

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01 Aug 2018, 17:34
Top Contributor
Bunuel wrote:
A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A) 9
(B) 11
(C) 18
(D) 22
(E) 29

We can also test the answer choices

C) 18
If the shorter piece is 18 feet long, then the longer piece is 36 feet long
Sum of lengths = 18 + 36 = 54
NO GOOD. We want a sum of 40 feet (as per the question)
So, we can ELIMINATE C.
Also, since we need the two pieces to be SHORTER, we can also ELIMINATE D and E

B) 11
If the shorter piece is 11 feet long, then the longer piece is 29 feet long
Sum of lengths = 11 + 29 = 40
PERFECT!!!

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Re: A rope 40 feet long is cut into two pieces. If one piece is &nbs [#permalink] 01 Aug 2018, 17:34
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