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?
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.
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