2012 AMC 8 第 3 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。

3.

二月十三日,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},日落时间为 8:15PM8:15\text{PM} 。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 13 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} 这一时间

5 5:10 PM10\text{ PM}

55:21 PM21\text{ PM} 这一时间

55:21 PM21\text{ PM}

55:41 PM41\text{ PM} 这一时间

5 5:41 PM41\text{ PM}

55:57 PM57\text{ PM} 这一时间

5 5:57 PM57\text{ PM}

66:03 PM03\text{ PM} 这一时间

6 6:03 PM03\text{ PM}

答案:B
知识点:日期与时间
难度评级:720
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文字解答:

6:57AM6:57 \text{AM}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} 。还剩 2121 分钟日落,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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