2018 AMC 8 Problem 12
Attempt Problem 12 of the 2018 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 2018 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
The clock in Sri’s car, which is not accurate, gains time at a constant rate. One day as he begins shopping he notes that his car clock and his watch (which is accurate) both say noon. When he is done shopping, his watch says and his car clock says Later that day, Sri loses his watch. He looks at his car clock and it says What is the actual time?
Answer: B
Small hint:
Compare how much time the car clock gains to how much real time passes.
Big hint:
The car clock’s minutes correspond to actual minutes.
Video solution:
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Written solution:
Starting from noon, after minutes of time elapsed, the car clock went minutes ahead.
Therefore, for every minute the car clock goes ahead, minutes of actual time pass by. From the time to the car clock goes ahead minutes, and therefore, minutes, or hours, of actual time have passed by. If we start at and hours pass by, the time is
Thus, B is the correct answer.
Problem 12 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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