2006 AMC 8 第 14 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。

14.

14,15,14, 15,1616 题涉及 Reed 老师的英语作业。

一本小说作业

Reed 老师英语课上的学生都在读同一本 760760 页的小说。Alice、Bob 和 Chandra 是班上的三个朋友。Alice 读一页需要 2020 秒,Bob 读一页需要 4545 秒,Chandra 读一页需要 3030 秒。

如果 Bob 和 Chandra 都读完整本书,Bob 会比 Chandra 多花多少秒阅读?

Problems 14,15,14, 15, and 1616 involve Mrs. Reed’s English assignment.

A Novel Assignment

The students in Mrs. Reed’s English class are reading the same 760760-page novel. Three friends, Alice, Bob and Chandra, are in the class. Alice reads a page in 2020 seconds, Bob reads a page in 4545 seconds and Chandra reads a page in 3030 seconds.

If Bob and Chandra both read the whole book, Bob will spend how many more seconds reading than Chandra?

7,6007,600

11,40011,400

12,50012,500

15,20015,200

22,80022,800

答案:B
知识点:速率分配律
难度评级:980
解答:

Bob 读完整本书需要76045760 \cdot 45秒,Chandra 需要76030760 \cdot 30秒。

两人阅读时间相差 7604576030 760 \cdot 45 - 760 \cdot 30 =760(4530)= 760(45 - 30) =76015= 760 \cdot 15 =11,400= 11,400 秒。

所以正确答案是 B

Bob will take 76045760 \cdot 45 seconds to read the book, and Chandra will take 76030760 \cdot 30 seconds.

The difference between the time they spent reading is 7604576030 760 \cdot 45 - 760 \cdot 30 =760(4530)= 760(45 - 30) =76015= 760 \cdot 15 =11,400= 11,400 seconds.

Thus, B is the correct answer.

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