Posted by **ss** on Saturday, March 30, 2013 at 11:25pm.

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?

- algebra -
**Khaled**, Sunday, March 31, 2013 at 5:52am
Let the three pieces of the rope be x,y, and z respectively.

1) x=2y

2) z=3y

(Note: We deduce from these 2 equations that the longest part we want to find is z)

3) x+y+z=120

Substitute 1) and 2) in 3)

Hence we get: 2y+y+3y=120;

6y=120 ==> y=20 ft

Therefore, z=3y=60 ft

## Answer This Question

## Related Questions

- MATH - The 120-foot rope is cut into 3 pieces.The first of rope is twice as long...
- Math algebra - A 120- foot long rope is cut into three pieces the first piece of...
- Math - a 120 foot long rope is cut into 3 pieces. the first piece of rope is ...
- math - A 120-foot long rope is cut into 3 pieces. the first rope is twice as ...
- MATH - A 210 ft. long rope is cut into 3 pieces. The first piece of rope is 3 ...
- alegebra - a 210 ft. long rope is cut into 3 pieces. the first piece of rope is ...
- math - Sarah had 4 pieces of rope.each piece was twice the length of the ...
- math - a rope was 9.45 meters. the length of the first piece of rope was 1/5 of ...
- Math - Henrey had a piece of a rope that was 22 1/2 inches long. Henry cut the ...
- math - A rope is 15 feet long. Cut it into 3 pieces. The first piece was 3.57 ...

More Related Questions