2017 AMC 10B 第 2 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。

2.

Sofia 在学校的 400400 米跑道上跑了 55 圈。每一圈中,她前 100100 米的平均速度为每秒 44 米,剩下 300300 米的平均速度为每秒 55 米。Sofia 跑完 55 圈共花了多少时间?

Sofia ran 55 laps around the 400400-meter track at her school. For each lap, she ran the first 100100 meters at an average speed of 44 meters per second and the remaining 300300 meters at an average speed of 55 meters per second. How much time did Sofia take running the 55 laps?

553535

55 minutes and 3535 seconds

664040

66 minutes and 4040 seconds

7755

77 minutes and 55 seconds

772525

77 minutes and 2525 seconds

881010

88 minutes and 1010 seconds

答案:C
知识点:路程、速度与时间单位换算
难度评级:870
解答:

Sofia 总共以每秒 44 米跑了 5100=5005\cdot 100=500 米,以每秒 55 米跑了 5300=15005\cdot 300=1500 米。

因此总时间为 秒。 5004+15005=425\frac{500}4 + \frac{1500}5 = 425

这个时间等于 7755 秒。

所以正确答案是 C

She ran a total of 5100=5005\cdot 100=500 meters at 44 meters per second and 5300=15005\cdot 300=1500 meters at 55 meters per second.

Therefore, her time is 5004+15005=425\frac{500}4 + \frac{1500}5 = 425 seconds.

This is equal to a total of 77 minutes and 55 seconds.

Thus, the correct answer is C .

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