2012 AMC 8 第 3 题

先试着解答 2012 AMC 8 第 3 题,然后核对你的答案与视频与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2012 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

3.

二月 1313 日,The Oshkosh Northwester 刊登的白昼时长为 1010 小时 2424 分钟,日出时间为 6:57 AM6:57\text{ AM} 并把日落时间标为 8:15PM8:15\text{PM},而白昼时长和日出时间是正确的,但日落时间是错误的。太阳实际什么时候落下?
On February 1313 The Oshkosh Northwester listed the length of daylight as 1010 hours and 2424 minutes, the sunrise as 6:57 AM,6:57\text{ AM}, and the sunset as 8:15PM. 8:15\text{PM} . The length of daylight and sunrise were correct, but the sunset was wrong. When did the sun really set?
55:10 PM10\text{ PM}
55:21 PM21\text{ PM}
55:41 PM41\text{ PM}
55:57 PM57\text{ PM}
66:03 PM03\text{ PM}
答案:B
知识点:日期与时间
小提示:
将正确的白昼时长加到日出时间上。
Add the correct daylight length to the sunrise time.
大提示:
从上午 6:576:57 到中午是 55 小时 33 分钟。
From 6:576:57 AM to noon is 55 hours 33 minutes.
视频讲解:
解答视频缩略图
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文字解答:
从 6:57AM6:57 \text{AM} 起 1010 小时后是 4:57PM4:57 \text{PM} 。也就是说,日出后 1010 小时 33 分钟是 5:00PM5:00 \text{PM} 。距日落还有 2121 分钟,所以实际日落时间是 5:21PM5:21 \text{PM} 。
所以正确答案是 B。
Since 1010 hours after 6:57AM6:57 \text{AM} is 4:57PM,4:57 \text{PM} , we can then say 1010 hours and 33 minutes after sunrise is 5:00PM.5:00 \text{PM} . We then have 2121 more minutes until sunset, so sunset is 5:21PM.5:21 \text{PM} .
Thus, the answer is B .
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