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Re: A rope 40 feet long is cut into two pieces. If one piece is
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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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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
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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 \(x+(x+18)=40\) --> \(x=11\).

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

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

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

Start with the middle answer choice C

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

Now try answer choice B 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!!!

Re: A rope 40 feet long is cut into two pieces. If one piece is
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16 Sep 2019, 08:55

1

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

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? l + s = 40 l - s = 18 s = (40 - 18)/2 = 22/2 = 11 feet

IMO B
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