A 35 ft pipe is cut into three pieces. The longest piece is three times longer than the shortest piece. The medium-sized piece is 5 feet longer than the shortest piece. How long is each piece?

1 Answer
Jul 21, 2018

I tried this:

Explanation:

Let us call the three pieces (long, short and medium): #l,m,s#.
We get:

#l+m+s=35#
#l=3s#
#m=s+5#

let us substitute the last 2 into the first:

#3s+s+5+s=35#

#5s=30#

#s=30/5=6"ft"#

so that:

#l=3*6=18"ft"#
#m=6+5=11"ft"#