SOLUTION: 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

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
RELATED QUESTIONS
a 120 foot long rope is cut into 3 pieces. The first rope is twice as long as the second... (answered by DrBeeee)

A 120-foot long rope is cut into 3 pieces. The first piece is twice as long as the second (answered by jorel1380)

A 120-foot-long rope is cut into 3 pieces.The first piece of rope is twice as long as the (answered by rfer)

180 ft rope is cut into three pieces the second piece is twice as long as the first,the... (answered by benazir.sj@gmail.com)

A 210 ft long rope is cut into 3 pieces. The first piece of rope is 3 time as long as the (answered by KMST)

PLEASE HELP ME SOLVE THIS PROBLEM A 210 FT LONG ROPE IS CUT IN 3 PIECES, THE FIRST... (answered by dfrazzetto,mamiya)

A 59-m rope is cut into three pieces. The second piece is twice as long as the first. The (answered by scott8148)

A 45 foot rope is to be cut into 3 pieces. The second piece must be twice as long as the... (answered by nerdybill,rapaljer)

How do you figure out these kinds of problems. A 30 yd long pipe is cut into 3 pieces.... (answered by solver91311)