Question

1b. 80 foot-long rope is cut into 3 pieces.

The first piece of rope is half as long as the
second piece of rope. The third piece
is
three times as long as the second piece of
rope. What is the length of the longest
piece of rope?

Answer 1

Answer: 53.34 feet

Explanation:

Let the length of the second piece of rope be x.

The first piece of rope is half as long as the second piece of rope. This will be: = x/2.

The third piece is three times as long as the second piece of rope. This will be: = 3 × x = 3x

Therefore,

x + 0.5x + 3x = 80

4.5x = 80

x = 80/4.5

x = 17.78 feet

The length of the longest piece of rope will be:

= 3 × x

= 3 × 17.78

= 53.34 feet