Answer: 53.34 feet
Step-by-step 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
