2003 AMC 12B 第 4 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。
4.
Moe 用割草机修剪一块 英尺乘 英尺的长方形草坪。割草机每次割出的草带宽 英寸，但他每次会重叠 英寸，以确保没有漏割。他推割草机时的速度是每小时 英尺。下列哪一项最接近 Moe 修剪完草坪所需的小时数？
Moe uses a mower to cut his rectangular -foot by -foot lawn. The swath he cuts is inches wide, but he overlaps each cut by inches to make sure that no grass is missed. He walks at the rate of feet per hour while pushing the mower. Which of the following is closest to the number of hours it will take Moe to mow his lawn?
小提示：
因为有重叠，每次实际新增割草宽度为 英寸
Each pass effectively cuts a strip only inches wide because of the overlap
大提示：
英寸就是 英尺，所以每走一英尺就割 平方英尺
A -inch strip is feet wide, so each foot walked mows square feet
解答：
因为重叠，每次新增的草带宽度为 英寸 英尺。所以 Moe 每走一英尺就割 平方英尺，也就是每小时割 平方英尺。
草坪面积为 平方英尺，所以所需时间为 小时。
因此，正确答案是 C。
Because of the overlap, each pass adds a strip inches feet wide. So each foot Moe walks mows square feet, that is, square feet per hour.
The lawn has area square feet, so the time is hours.
Thus, the correct answer is C.
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