Question:

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?

Updated On: May 31, 2025
  • 7.5
  • 8.9
  • 9.9
  • 11.7
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The Correct Option is D

Solution and Explanation

Let the length of the longer piece be \( x \). Then the length of the shorter piece is \( x - 2.8 \). The total length of the rope is 20.6 meters, so: \[ x + (x - 2.8) = 20.6 \] Simplify the equation: \[ 2x - 2.8 = 20.6 \quad \Rightarrow \quad 2x = 23.4 \quad \Rightarrow \quad x = 11.7 \] When dividing a total length into two pieces, create an equation based on the given relationship between the pieces and solve for the unknown length.
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