2006 AMC 8 第 13 题
先试着解答 2006 AMC 8 第 13 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2006 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
13.
Cassie 上午 从 Escanaba 骑车前往 Marquette，速度恒定为每小时 英里。Brian 上午 从 Marquette 骑车前往 Escanaba，速度恒定为每小时 英里。他们骑在 Escanaba 和 Marquette 之间同一条 英里的路线上。上午几点他们相遇？
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?
答案：D
小提示：
先考虑 Cassie 的半小时提前出发。
First account for Cassie’s half-hour head start.
大提示：
Brian 出发后，两人的距离以速度之和缩小。
After Brian starts, the distance between them closes at the sum of their speeds.
解答：
Brian 开始骑车时，Cassie 已经骑了 英里。因此两人相距 英里。
他们合起来以每小时 英里的速度缩短距离。因此他们在上午 后 小时相遇。
所以他们在上午 相遇。
所以正确答案是 D。
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.
其他年份的第 13 题
- 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
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
- 2005 AMC 8
- 2007 AMC 8
- 2008 AMC 8
- 2009 AMC 8
- 2010 AMC 8
- 2011 AMC 8
- 2012 AMC 8
- 2013 AMC 8
- 2014 AMC 8
- 2015 AMC 8
- 2016 AMC 8
- 2017 AMC 8
- 2018 AMC 8
- 2019 AMC 8
- 2020 AMC 8
- 2022 AMC 8
- 2023 AMC 8
- 2024 AMC 8
- 2025 AMC 8
- 2026 AMC 8