1992 AMC 8 Problem 19
Attempt Problem 19 of the 1992 AMC 8 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 1992 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
19.
The distance between the th and th exits on an interstate highway is miles. If any two exits are at least miles apart, then what is the largest number of miles there can be between two consecutive exits that are between the th and th exits?
Answer: C
Small hint:
Between the th and th exits there are gaps
Big hint:
To make one gap as large as possible, make the other gaps as small as allowed, miles each
Solution:
From the th exit to the th exit there are gaps between consecutive exits, each at least miles.
To maximize one gap, make the other gaps exactly miles, using miles. The remaining gap is miles.
Thus, the correct answer is C .
Problem 19 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1993 AMC 8
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