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?

Question

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?

anonymous · Answer

Call the peices F, S, T (first, second, third)

F = 2S, T = 3S

Total = F + S + T = 6S = 120 => S =  ...

Longest = 3S = ...

anonymous · Answer

okay

gw2011 · Answer

Let x = Second Piece
2x = First Piece
3x = Third Piece

The equation is: x+2x+3x=120
                                   6x=120
                                     x=20 ft
                                    2x=40 ft
                                    3x=60 ft

Therefore, the third piece which 60 ft is the longest

anonymous · Answer

thank u!