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Sub 505 (Easy)|   Arithmetic|                           
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A rope 20.6 meters long is cut into two pieces 22 May 2016, 22:14
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87% (01:14) correct 13% (01:27) wrong based on 2368 sessions

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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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E
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A rope 20.6 meters long is cut into two pieces 22 May 2016, 23:57
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nalinnair
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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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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A rope 20.6 meters long is cut into two pieces 23 May 2016, 02:23
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nalinnair
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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Similar question to practice: a-rope-40-feet-long-is-cut-into-two-pieces-if-one-piece-is-137872.html
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A rope 20.6 meters long is cut into two pieces 23 Apr 2019, 20:09
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nalinnair
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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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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A rope 20.6 meters long is cut into two pieces 29 Jan 2020, 21:56
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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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A rope 20.6 meters long is cut into two pieces 24 Feb 2020, 02:03
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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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A rope 20.6 meters long is cut into two pieces 13 Aug 2020, 04:04
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A rope 20.6 meters long is cut into two pieces 04 Nov 2021, 08:14
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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 13 May 2022, 10:31
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nalinnair
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
Show more

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

Answer choice E.

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A rope 20.6 meters long is cut into two pieces 19 Jun 2025, 06:41
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Non-equation method.

If you split the rope in half, it is 10.3 each

Then imagine, if you take 1.4m from one rope and attach to the other, the total still remains at 20.6.
But one rope is now 2.8m shorter than other.

How did I come up with 1.4 magic number? It is half of 2.8m !
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A rope 20.6 meters long is cut into two pieces 12 Aug 2026, 15:43
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smaller rope=x
larger rope=x+2.8
adding smaller+larger rope
2x+2.8=20.6
11.7
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