A Rope 20.6 m Long is Cut into Two Pieces GMAT Problem Solving

Question: A rope 20.6 m 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?

1. 7.5
2. 8.9
3. 9.9
4. 10.3
5. 11.7

“A rope 20.6 m 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?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Answer:

Approach Solution (1):

Length of the rope = 20.6 meters
Assume the length of the longer piece = x meters
Length of the 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

Approach Solution (2):

Just divide the rope equally into 2 parts i.e., \(\frac{20.6}{2}=10.3\)

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

Correct option: E

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