SOLUTION: a rod is chopped into 3 pieces. the first part is 3 times as long as the second piece,and the second piece is 3 times as long as the third piece. what fraction part of the rod is t

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Question 1149675: a rod is chopped into 3 pieces. the first part is 3 times as long as the second piece,and the second piece is 3 times as long as the third piece. what fraction part of the rod is the shortest piece?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
part1        3*3t=9t
part2        3t
part3         t
total       13t

Shortest part is part 3,  .

Fraction of the original rod length,

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

If the third piece is x units long, then

   the second piece is 3x units long and
 
   the first piece is  3*(3x) units long.


If the total length of the rod is L, then


    x + 3x + 9x = L

    13x = L

      x = .


ANSWER.  The shortest piece is  part of the rod length.


CHECK.   +  +  =  = L.


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