2016 AMC 8 Problem 16
Attempt Problem 16 of the 2016 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2016 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
Annie and Bonnie are running laps around a -meter oval track. They started together, but Annie has pulled ahead, because she runs faster than Bonnie. How many laps will Annie have run when she first passes Bonnie?
Answer: D
Small hint:
A faster pace means Annie runs as far as Bonnie in the same time.
Big hint:
Annie first passes Bonnie when she has gained one full lap.
Video solution:
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Written solution:
Since Annie is faster than Bonnie, for every lap Bonnie finishes, Annie completes laps. Therefore, Annie gains a quarter lap every time Bonnie finishes a lap.
With this in mind, for Annie to completely lap Bonnie, Bonnie must finish laps, which means that Annie finished laps.
Thus, D is the correct answer.
Problem 16 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
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