2006 AMC 8 第 16 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。

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?

64006400

66006600

68006800

70007000

72007200

答案:E
知识点:速率比与比例
难度评级:1440
解答:

如果 33 人阅读相同时间,那么 Bob、Chandra 和 Alice 阅读页数之比为 4:6:94:6:9

因此他们分别读 160,240,160, 240,360360 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 45160=720045 \cdot 160 = 7200 秒。

所以正确答案是 E

If all 33 individuals read the same amount of time, then the number of pages Bob, Chandra, and Alice will read will be in the ratio 4:6:94:6:9 respectively.

This means that they will read 160,240,160, 240, and 360360 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 45160=720045 \cdot 160 = 7200 seconds to read his portion.

Thus, E is the correct answer.

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