2022 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.

万维网在二十世纪九十年代刚流行时,下载速度最高约为每秒 5656 千比特。以这个速度下载一首 4.24.2 兆字节的歌曲大约需要多少分钟?(注意一兆字节等于 80008000 千比特。)

When the World Wide Web first became popular in the 1990s, download speeds reached a maximum of about 5656 kilobits per second. Approximately how many minutes would the download of a 4.24.2-megabyte song have taken at that speed? (Note that there are 80008000 kilobits in a megabyte.)

0.60.6

1010

18001800

72007200

3600036000

答案:B
知识点:单位换算速率
难度评级:960
解答:

歌曲大小为 4.28000=33,6004.2\cdot8000=33{,}600 千比特。以每秒 5656 千比特下载,需要 秒,即 1010 分钟。 33,60056=600 \frac{33{,}600}{56}=600

正确答案是 B

The song has 4.28000=33,6004.2\cdot8000=33{,}600 kilobits. At 5656 kilobits per second, the download takes 33,60056=600 \frac{33{,}600}{56}=600 seconds, which is 1010 minutes.

Thus, the correct answer is B.

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