2001 AMC 8 第 5 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。

5.

在一个漆黑的暴风雨夜,Snoopy 突然看见一道闪电。十秒后他听到雷声。声速是每秒 10881088 英尺,一英里是 52805280 英尺。估计 Snoopy 距离闪电有多远,精确到最近的半英里。

On a dark and stormy night Snoopy suddenly saw a flash of lightning. Ten seconds later he heard the sound of thunder. The speed of sound is 10881088 feet per second and one mile is 52805280 feet. Estimate, to the nearest half-mile, how far Snoopy was from the flash of lightning.

11

1121\frac{1}{2}

22

2122\frac{1}{2}

33

答案:C
知识点:路程、速度与时间估算单位换算
难度评级:730
解答:

1010 秒内,雷声传播了 101088=1088010 \cdot 1088 = 10880 英尺。

22 英里约为 25280=105602 \cdot 5280 = 10560 英尺,接近上面的距离。

所以正确答案是 C

In 1010 seconds, the thunder was able to travel 101088=1088010 \cdot 1088 = 10880 feet.

Note that 22 miles is about 25280=105602 \cdot 5280 = 10560 feet, which is close to what we found above.

Thus, C is the correct answer.

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