2006 AMC 8 Problem 13
Attempt Problem 13 of the 2006 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 2006 AMC 8 solutions, or check the answer key.
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13.
Cassie leaves Escanaba at AM heading for Marquette on her bike. She bikes at a uniform rate of miles per hour. Brian leaves Marquette at AM heading for Escanaba on his bike. He bikes at a uniform rate of miles per hour. They both bike on the same -mile route between Escanaba and Marquette. At what time in the morning do they meet?
Answer: D
Small hint:
First account for Cassie’s half-hour head start.
Big hint:
After Brian starts, the distance between them closes at the sum of their speeds.
Solution:
By the time Brian starts biking, Cassie has already traveled miles. This means that Cassie and Brian are then miles apart.
Together, they close the distance at miles per hour. This means that they meet hours after AM.
This means that they meet at AM.
Thus, D is the correct answer.
Problem 13 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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