2023 AMC 12A Problem 1
Attempt Problem 1 of the 2023 AMC 12A 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 2023 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
1.
Cities and are miles apart. Alicia lives in and Beth lives in Alicia bikes towards at miles per hour. Leaving at the same time, Beth bikes toward at miles per hour. How many miles from City will they be when they meet?
Answer: E
Small hint:
Their closing speed is miles per hour
Big hint:
Find the time until they meet, then multiply by Alicia’s speed
Solution:
The gap between them closes at miles per hour, so they meet after hours.
In that time Alicia has ridden miles from City
Thus, the correct answer is E.
Problem 1 in other years
- 1950 AMC 12
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