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Sub 505 Level|   Arithmetic|                           
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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

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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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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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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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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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

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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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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