2490.21 – Kite Strings

Buzz has three kite strings averaging 6600 feet in length. None is less than 6200 feet long. How long can the longest be?

Solution

The three strings together total 3×6600=19,8003 \times 6600 = 19,800 feet in length. In the extreme case that two of them are only 6200 feet long, then the third one is 19,800−2(6200)=740019,800 - 2(6200) = 7400 feet long.