Mr. Ho has a 120 foot rope. It is broken into 3 pieces. The second piece is twice as long as the first piece. The third piece is 3 times as long as the first piece. How long is the longest piece of rope?
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Let's call the first piece of rope is X foot.
2nd piece of rope is 2X foot.
3rd piece of rope is 3X foot
but we know that, total length of rope is 120 foot
X+2X+ 3X= 120
X = 20 foot i.e first piece of rope
2X = 2*20 = 40 i.e 2nd piece of rope
3X = 3*20 = 60 i.e 3rd piece of ropeAnswer:
First Piece = 20 foot
2nd Piece = 40 foot
3rd Piece = 60 foot [Longest Piece of Rope]
we can also check that after adding all the pieces i.e 20+40+60 = 120 foot long. i.e original rope length
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