Posted by ss on Saturday, March 30, 2013 at 11:25pm.
A 120footlong 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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