SOLUTION: A 120-foot long rope is cut into 3 pieces. The first piece is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope.

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Question 427514: A 120-foot long rope is cut into 3 pieces. The first piece is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of rope?
Answer by jorel1380(3719) About Me  (Show Source):
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Let X equal the length of the second piece of rope. The first piece is twice as long, or 2X. The third piece is three times as long, or 3X. Therefore:
2X + X + 3X=120
6X=120
X=20

The longest piece is the third piece, or 3X, which equals 60 feet.