Problem:
Triangle has side lengths , and . Two bugs start simultaneously from and crawl along the sides of the triangle in opposite directions at the same speed. They meet at point . What is ?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The perimeter of the triangle is , so the distance that each bug crawls is 9 . Therefore , and .
The problems on this page are the property of the MAA's American Mathematics Competitions