2018 AMC 12B 第 2 题

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2.

Sam 在 9090 分钟内开了 9696 英里。他前 3030 分钟的平均速度为 6060 mph,第二个 3030 分钟的平均速度为 6565 mph。他最后 3030 分钟的平均速度是多少 mph?

Sam drove 9696 miles in 9090 minutes. His average speed during the first 3030 minutes was 6060 mph (miles per hour), and his average speed during the second 3030 minutes was 6565 mph. What was his average speed, in mph, during the last 3030 minutes?

6464

6565

6666

6767

6868

答案:D
知识点:路程、速度与时间
难度评级:1080
解答:

3030 分钟 Sam 行驶 6012=3060\cdot\tfrac12=30 英里,接着又行驶 6512=32.565\cdot\tfrac12=32.5 英里。

最后 3030 分钟行驶 963032.5=33.596-30-32.5=33.5 英里,所以速度为 33.51/2=67 mph. \dfrac{33.5}{1/2}=67\text{ mph}.

所以正确答案是 D

In the first 3030 minutes Sam covered 6012=3060\cdot\tfrac12=30 miles, and in the second he covered 6512=32.565\cdot\tfrac12=32.5 miles.

The last 3030 minutes covered 963032.5=33.596-30-32.5=33.5 miles, so the speed was 33.51/2=67 mph. \dfrac{33.5}{1/2}=67\text{ mph}.

Thus, the correct answer is D.

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