2006 AMC 8 第 16 题
先试着解答 2006 AMC 8 第 16 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。
16.
在 Chandra 和 Bob 开始阅读前，Alice 说她也想和他们一起团队阅读。如果他们把书分成三部分，使每个人阅读时间相同，那么每个人需要阅读多少秒？
Before Chandra and Bob start reading, Alice says she would like to team read with them. If they divide the book into three sections so that each reads for the same length of time, how many seconds will each have to read?
小提示：
比较三人在相同时间内各自读多少页。
Compare how many pages each person reads in the same amount of time.
大提示：
像 秒这样的共同时间会让三人的页数都是整数。
A common time such as seconds makes all three page counts whole numbers.
解答：
如果 人阅读相同时间，那么 Bob、Chandra 和 Alice 阅读页数之比为 。
因此他们分别读 、 和 页。因为三人阅读时间相同，只需计算 Bob 读他那部分所需时间。
Bob 读完这部分需要 秒。
所以正确答案是 E。
If all individuals read the same amount of time, then the number of pages Bob, Chandra, and Alice will read will be in the ratio respectively.
This means that they will read and pages respectively. Since they all read for the same amount of time, we can just calculate how long it takes for Bob to read his portion.
Bob will take seconds to read his portion.
Thus, E is the correct answer.
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