1995 AMC 8 第 11 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
11.
简（Jane）走任意距离所用时间是赫克托（Hector）走同样距离所用时间的一半。他们从图中所示 个街区区域外侧出发，沿相反方向行走。他们第一次相遇时，最接近哪个点？
Jane can walk any distance in half the time it takes Hector to walk the same distance. They set off in opposite directions around the outside of the -block area as shown. When they meet for the first time, they will be closest to
小提示：
第一次相遇时，他们合起来走完了整个 街区的环路
When they first meet, together they have covered the full -block loop
大提示：
简的速度是赫克托的两倍，所以简走 个街区，赫克托走 个街区
Jane walks twice as fast, so she covers blocks while Hector covers
解答：
该区域的周长为 个街区，所以简和赫克托相遇时合计走了 个街区。因为简的速度是赫克托的两倍，所以简走了 个街区，赫克托走了 个街区。
从底边中点出发，赫克托走 个街区，先到 ，再向上到 ；简走 个街区，先到 ，再向上到 ，最后沿上边到 。所以他们在 相遇。
所以正确答案是 D。
The perimeter of the region is blocks, so when Jane and Hector meet they have together walked blocks. Since Jane walks twice as fast, she covers blocks and Hector covers
Starting from the middle of the bottom edge, Hector walks blocks (to then up to ), and Jane walks blocks (to up to then across the top to ). They meet at
Thus, the correct answer is D .
其他年份的第 11 题
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- 1990 AMC 8
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