AMC 8 2001 Problem 6

AMC8 2001 年第 6 题

数列与规律★★☆☆☆
Six trees are equally spaced along one side of a straight road. The distance from the first tree to the fourth is 60 feet. What is the distance in feet between the first and last trees?
六棵树在一条笔直公路的一侧等距分布。第一棵树和第四棵树相距 60 英尺。则第一棵树和最后一棵树之间的距离是多少英尺?
  1. A.90
  2. B.100
  3. C.105
  4. D.120
  5. E.140

正确答案 · Correct Answer

B

解析 · Solution

Solution 1

There are 3 spaces between the 1st and 4th trees, so each of these spaces has 603=20\displaystyle \frac{60}{3} = 20 feet. Between the first and last trees there are 5 spaces, so the distance between them is 20×5=100 feet, B\text{B}.

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