Question 193261: 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?
a. 20 feet
b. 40 feet
c. 60 feet
d. 80 feet
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! c. 60
might start by drawing a line , and marking off 3 sections.
the second seems to be base, so set it equal to x
the first piece is twice as long, or 2x.
the third is three times as long or 3x.
Total length is 120, therefore
2x+x+3x=120
6x=120
x=20
returning to the sketch, we have 2x=40,,x=20,,,3x=60 (or longest)
check sum =120 ok
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