2023 AMC 8 Problem 13
Attempt Problem 13 of the 2023 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 2023 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
13.
Along the route of a bicycle race, water stations are evenly spaced between the start and finish lines, as shown in the figure below. There are also repair stations evenly spaced between the start and finish lines. The rd water station is located miles after the st repair station. How long is the race in miles?
Answer: D
Small hint:
Seven water stations divide the race into equal gaps
Big hint:
Two repair stations divide the race into equal gaps
Video solution:
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Written solution:
The rd water station is located of the way along the race (the water stations split the race up into equal spaces).
The first repair station is located of the way along the race. The distance between the stations is of the race length. This distance is miles, so the race is miles long.
Thus, D is the correct answer.
Problem 13 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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