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Anoos has a rope 135 feet long. The 2nd piece is twice as long as the 1st piece. The 3rd piece is 3 times as long as the 1st piece. How long is the longest piece of rope?

Dec 3rd, 2015

let x be the second piece

then the first piece is 2x

and the third piece is 3(2x) = 6x

So the length is the total of three pieces, then

first piece + second piece + third piece = 135 ft

2x + x + 6x = 135

9x = 135

x = 135/9

x = 15 ft


first piece = 2x = 2(15) = 30 ft

second piece = x = 15 ft

third piece = 6x = 6(15) = 90 ft

Hence the longest piece is third piece which is of 90 ft long.

Dec 3rd, 2015

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