a 120 foot long rope is cut into 3 pieces. the first piece of rope 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?

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a 120 foot long rope is cut into 3 pieces. the first piece of rope 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?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Call the peices F, S, T (first, second, third) F = 2S, T = 3S Total = F + S + T = 6S = 120 => S = ... Longest = 3S = ...
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Let x = Second Piece 2x = First Piece 3x = Third Piece The equation is: x+2x+3x=120 6x=120 x=20 ft 2x=40 ft 3x=60 ft Therefore, the third piece which 60 ft is the longest

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