1997 AMC 8 第 4 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。

4.

Julie 正在为班级准备演讲。她的演讲必须持续半小时到四分之三小时之间。理想语速是每分钟 150150 个词。如果 Julie 按理想语速演讲,下列哪个词数适合作为她演讲的长度?

Julie is preparing a speech for her class. Her speech must last between one-half hour and three-quarters of an hour. The ideal rate of speech is 150150 words per minute. If Julie speaks at the ideal rate, which of the following number of words would be an appropriate length for her speech?

22502250

30003000

42004200

43504350

56505650

答案:E
知识点:速率单位换算
难度评级:660
解答:

半小时是 3030 分钟,Julie 可说 个词。四分之三小时是 4545 分钟,可说 个词。选项中唯一在四千五百和六千七百五十之间的是 5650565015030=4500 150 \cdot 30 = 4500 15045=6750 150 \cdot 45 = 6750

所以正确答案是 E

One-half hour is 3030 minutes, in which Julie can speak 15030=4500 150 \cdot 30 = 4500 words. Three-quarters of an hour is 4545 minutes, in which Julie can speak 15045=6750 150 \cdot 45 = 6750 words. The only answer choice in between these two values is 5650.5650.

Thus, E is the correct answer.

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