2023 AMC 8 第 11 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。

11.

NASA 的 Perseverance 探测车于 20202020年七月3030日发射。它行进 292,526,838292,526,838 英里后,约 6.56.5 个月后降落在火星的 Jezero 陨石坑。下列哪一项最接近探测车的平均星际速度,单位为英里每小时?

NASA's Perseverance Rover was launched on July 30,30, 2020.2020. After traveling 292,526,838292,526,838 miles, it landed on Mars in Jezero Crater about 6.56.5 months later. Which of the following is closest to the Rover's average interplanetary speed in miles per hour?

6,0006,000

12,00012,000

60,00060,000

120,000120,000

600,000600,000

答案:C
知识点:路程、速度与时间估算单位换算
难度评级:1100
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文字解答:

把距离近似为 300,000,000300,000,000 英里。把 6.56.5 个月近似为 天,因此每天约行进 英里。再除以 2424 小时,约为 62,50062,500 英里每小时,最接近 60,00060,00030×6.5=195200 30 \times 6.5 = 195 \approx 200 300,000,000÷200=1,500,000 300,000,000 \div 200 = 1,500,000

所以正确答案是 C

We can round the distance up to 300,000,000300,000,000 miles. We can also approximate 6.56.5 months as 30×6.5=195200 30 \times 6.5 = 195 \approx 200 days. This means that the Rover traveled 300,000,000÷200=1,500,000 300,000,000 \div 200 = 1,500,000 miles per day. Dividing this by 2424 to get the speed in miles per hour yields 62,500,62,500, which is close to 60,000.60,000.

Thus, C is the correct answer.

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