2014 AMC 10B 第 8 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。

8.

一辆卡车每 tt 秒行驶 b6\dfrac{b}{6} 英尺。33 英尺等于一码。这辆卡车在 33 分钟内行驶多少码?

A truck travels b6\dfrac{b}{6} feet every tt seconds. There are 33 feet in a yard. How many yards does the truck travel in 33 minutes?

b1080t\dfrac{b}{1080t}

30tb\dfrac{30t}{b}

30bt\dfrac{30b}{t}

10tb\dfrac{10t}{b}

10bt\dfrac{10b}{t}

答案:E
知识点:单位换算速率
难度评级:960
解答:

卡车每 tt 秒行驶 b18\dfrac{b}{18} 码,因为 33 英尺等于一码;所以卡车每秒行驶 b18t\dfrac{b}{18t} 码。

33 分钟为 180180 秒,因此行驶 b18t180=10bt.\dfrac{b}{18t}\cdot 180 = \dfrac {10b}t.

所以正确答案是 E

This means it travels b18\dfrac{b}{18} yards in tt seconds since a yard is 33 feet. Then, in one second, it travels b18t\dfrac{b}{18t} yards.

Therefore, in 33 minutes which is 180180 seconds, it travels b18t180=10bt.\dfrac{b}{18t}\cdot 180 = \dfrac {10b}t.

Thus, the correct answer is E .

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