2010 AMC 8 Problem 8
Attempt Problem 8 of the 2010 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 2010 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
As Emily is riding her bicycle on a long straight road, she spots Emerson skating in the same direction mile in front of her. After she passes him, she can see him in her rear view mirror until he is mile behind her. Emily rides at a constant rate of miles per hour, and Emerson skates at a constant rate of miles per hour. For how many minutes can Emily see Emerson?
Answer: D
Small hint:
During the visible interval Emily gains a total of mile on Emerson.
Big hint:
Use Emily’s speed relative to Emerson’s speed.
Solution:
Let be how far Emily is ahead of Emerson. Emily sees Emerson if Suppose at where is in hours, that Then, Since we must find where we find the time where Since hours passed, we know that minutes passed.
Therefore, the answer is D .
Problem 8 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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