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

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