Monday

April 21, 2014

April 21, 2014

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

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 5:52amLet 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

**Related Questions**

Math algebra - A 120- foot long rope is cut into three pieces the first piece of...

MATH - The 120-foot rope is cut into 3 pieces.The first of rope is twice as long...

algebra - a 3 1/2 foot piece of rope is cut into two pieces. one of these pieces...

math - A 120-foot long rope is cut into 3 pieces. the first rope is twice as ...

algebra - a 23 foot cable is cut into two pieces, one three times as long as the...

math - a 50 foot length of rope was cut into two pieces. the first piece is 5 ...

algebra - a 28 ft rope is cut into 2 pieces. one is 3 feet longer than the other...

algebra - Nakia cut a board of 30ft long into 2 pieces. The ratio of the legnths...

MATH - A rope 105 meters long must be cut into pieces that are 2 1/2 meters long...

math - you need 5 foot long board into pieces that are 3/4 of a foot long. How ...