2022 AMC 10A 第 2 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。

2.

Mike 骑了 1515 圈,用时 5757 分钟。假设他全程速度不变,那么他在前 2727 分钟大约骑了多少圈?

Mike cycled 1515 laps in 5757 minutes. Assume he cycled at a constant speed throughout. Approximately how many laps did he complete in the first 2727 minutes?

55

77

99

1111

1313

答案:B
知识点:比与比例估算
难度评级:560
解答:

设前二十七分钟骑了若干圈,并用未知数表示。

1557=x27. \dfrac{15}{57} = \dfrac{x}{27}.

交叉相乘,得到 x=155727=135197. x = \dfrac{15}{57} \cdot 27 = \dfrac{135}{19} \approx 7.

所以正确答案是 B

We can set up a proportion to solve this problem:

1557=x27. \dfrac{15}{57} = \dfrac{x}{27}.

Cross multiplying, we get x=155727=135197. x = \dfrac{15}{57} \cdot 27 = \dfrac{135}{19} \approx 7.

Thus, B is the correct answer.

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