2007 AMC 12B Problem 6
Attempt Problem 6 of the 2007 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
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: D
Small hint:
Together the two bugs cover the whole perimeter, so each crawls half of it
Big hint:
One bug travels a distance of
Solution:
The perimeter is so each bug crawls before they meet.
The bug going reaches on side having traveled Since we get
Thus, the correct answer is D.
Problem 6 in other years
- 1950 AMC 12
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