2001 AMC 8 Problem 19
Attempt Problem 19 of the 2001 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 2001 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
19.
Car traveled at a constant speed for a given time. This is shown by the dashed line. Car traveled at twice the speed for the same distance. If Car ’s speed and time are shown as a solid line, which graph illustrates this?
Answer: D
Small hint:
Twice the speed means half the time for the same distance
Big hint:
The solid line should be higher and shorter
Solution:
Car travels at twice the speed of car so it is represented by a point that is twice as high on the speed axis as car
Since car travels at the same distance as car but at a faster speed, it takes half the time to complete the trip.
Therefore, the line representing car ’s speed is half the length of the line representing car ’s speed.
Both lines are horizontal because the speeds are constant. Examining the given graphs, the only one that meets these conditions is graph D .
Thus, D is the correct answer.
Problem 19 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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