2013 AMC 8 Problem 7
Attempt Problem 7 of the 2013 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 2013 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
7.
Trey and his mom stopped at a railroad crossing to let a train pass. As the train began to pass, Trey counted cars in the first seconds. It took the train minutes and seconds to clear the crossing at a constant speed. Which of the following was the most likely number of cars in the train?
Answer: C
Small hint:
Convert the total crossing time to seconds.
Big hint:
Use a proportion from cars in seconds.
Video solution:
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Written solution:
Converting minutes and seconds into seconds, we get seconds. Since cars passed in seconds, at the same rate the number of cars passing in seconds satisfies
Solving gives The closest answer choice is .
Thus, C is the correct answer.
Problem 7 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
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