2019 AMC 8 Problem 5
Attempt Problem 5 of the 2019 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 2019 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
A tortoise challenges a hare to a race. The hare eagerly agrees and quickly runs ahead, leaving the slow-moving tortoise behind. Confident that he will win, the hare stops to take a nap. Meanwhile, the tortoise walks at a slow steady pace for the entire race. The hare awakes and runs to the finish line, only to find the tortoise already there. Which of the following graphs matches the description of the race, showing the distance traveled by the two animals over time from start to finish?
Answer: B
Small hint:
The tortoise’s graph is one straight line
Big hint:
The hare’s graph has a flat part during the nap
Video solution:
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Written solution:
The hare’s path is the one with the horizontal line in the middle, which represents the period when the hare took a nap.
We also know that the time it takes the hare to reach the finish line is longer than the time it took the tortoise.
This means that the end of the hare’s path should have a larger -value. This is exactly graph
Thus, the correct answer is B.
Problem 5 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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