2022 AMC 8 Problem 10
Attempt Problem 10 of the 2022 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 2022 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
One sunny day, Ling decided to take a hike in the mountains. She left her house at a.m., drove at a constant speed of miles per hour, and arrived at the hiking trail at a.m. After hiking for hours, Ling drove home at a constant speed of miles per hour. Which of the following graphs best illustrates the distance between Ling’s car and her house over the course of her trip?
Answer: E
Small hint:
Find the distance to the trail from the first drive
Big hint:
The return drive is faster, so it takes less time than the outward drive
Solution:
She drives miles per hour for hours, so the trail is miles from her house. The graph must rise from to miles between AM and AM, then stay flat for the -hour hike.
She starts home at PM. Driving miles at miles per hour takes hours, so she gets home at PM. This matches choice E.
Thus, the correct answer is E.
Problem 10 in other years
- 1985 AMC 8
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