2001 AMC 8 Problem 19
Below is the professionally curated solution for Problem 19 of the 2001 AMC 8, 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.
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Difficulty rating: 1430
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?
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.
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