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

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A rope 40 feet long is cut into two pieces. If one piece is [#permalink] New post 26 Aug 2012, 02:05
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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

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Re: A rope 40 feet long is cut into two pieces. If one piece is [#permalink] New post 26 Aug 2012, 02:06
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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.

Answer: B.
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Re: A rope 40 feet long is cut into two pieces. If one piece is [#permalink] New post 26 Aug 2012, 07:18
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] New post 27 Aug 2012, 10:10
x+x+18 = 40.
So x=11 feet.
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Re: A rope 40 feet long is cut into two pieces. If one piece is [#permalink] New post 31 Aug 2012, 01:03
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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.

Answer: B.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: A rope 40 feet long is cut into two pieces. If one piece is [#permalink] New post 10 Nov 2012, 02:26
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] New post 19 Dec 2012, 02:36
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

Answer: B
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Re: A rope 40 feet long is cut into two pieces. If one piece is [#permalink] New post 26 May 2014, 02:08
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] New post 27 May 2014, 02:21
Longer piece: x+18
Shorter piece: x

x+18 + x = 40
2x+18 = 40
x = 11
Re: A rope 40 feet long is cut into two pieces. If one piece is   [#permalink] 27 May 2014, 02:21
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