A forty-foot rope was cut into two pieces. The length of one piece is 9 times the length of the other. What is the length of the longer piece?

In the question, the length of the actual rope is given as 40 foot. Also it is given that the length of one rope after cutting the original piece of rope into 2 pieces is 9 times that of the other pice.

Let us assume that the length of one piece of rope is = X

Then the length of the orther pice of rope = 9X

Now we can easily get the equation

X + 9X = 40

10X = 40

X = 40/10

X = 4

So the length of the shorter rope is 4 foot.

The length of the longer rope is 9 times that of the shorter one.

So the length of the longer rope is 36 foot.