1999 AMC 8 第 7 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。

7.

一条高速公路的第三个出口在 4040 英里标处,第十个出口在 160160 英里标处。一个服务中心位于从第三个出口到第十个出口路程的四分之三处。这个服务中心应在多少英里标处?

The third exit on a highway is located at milepost 4040 and the tenth exit is at milepost 160.160. There is a service center on the highway located three-fourths of the way from the third exit to the tenth exit. At what milepost would you expect to find this service center?

9090

100100

110110

120120

130130

答案:E
知识点:分数
难度评级:900
解答:

第三个和第十个出口之间相差 16040=120160 - 40 = 120 英里。

这意味着全程的 34\frac{3}{4} 处的英里标为 40+34120=130 40 + \dfrac{3}{4} \cdot 120 = 130

所以正确答案是 E

There are 16040=120160 - 40 = 120 miles between the third and tenth exits.

This means 34\frac{3}{4} of the way is at the 40+34120=130 40 + \dfrac{3}{4} \cdot 120 = 130 milepost.

Thus, E is the correct answer.

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