2005 AMC 8 第 10 题

先试着解答 2005 AMC 8 第 10 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2005 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

10.

乔从家到学校走到一半时发现自己迟到了,于是剩下的路跑到学校。他跑步速度是步行速度的 33 倍。乔走到学校一半用了 66 分钟。他从家到学校总共用了多少分钟?
Joe had walked half way from home to school when he realized he was late. He ran the rest of the way to school. He ran 33 times as fast as he walked. Joe took 66 minutes to walk half way to school. How many minutes did it take Joe to get from home to school?
77
7.37.3
7.77.7
88
8.38.3
答案:D
知识点:路程、速度与时间比与比例
小提示:
乔跑的是与之前步行相同的一半距离
Joe runs the same half-distance he previously walked.
大提示:
速度变为三倍,所用时间变为三分之一
Running three times as fast takes one third as much time.
解答:
乔走前半段用了 66 分钟。
后半段距离相同,他以步行速度的 33 倍跑,所以这一半用 6÷3=26\div3=2 分钟。
总时间为 6+2=86+2=8 分钟。
所以正确答案是 D。
Joe took 66 minutes to walk the first half of the distance.
He ran the second half, the same distance, at 33 times his walking speed, so that half took 6÷3=26\div3=2 minutes.
His total time was 6+2=86+2=8 minutes.
Thus, D is the correct answer.
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