2022 AMC 8 Problems/Problem 10
Problem
One sunny day, Ling decided to take a hike in the mountains. She left her house at , drove at a constant speed of
miles per hour, and arrived at the hiking trail at
. After hiking for
hours, Ling drove home at a constant speed of
miles per hour. Which of the following graphs best illustrates the distance between Ling’s car and her house over the course of her trip?
Solution
Note that:
- At
Ling's car was
miles from her house.
- From
to
Ling drove to the hiking trail at a constant speed of
miles per hour.
It follows that at
Ling's car was
miles from her house.
- From
to
Ling did not move her car.
It follows that at
Ling's car was still
miles from her house.
- From
Ling drove home at a constant speed of
miles per hour. So, she arrived home
hour later.
It follows that at
Ling's car was
miles from her house.
Therefore, the answer is
~MRENTHUSIASM
See Also
2022 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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