AMC 8 1992 Problem 12

AMC8 1992 年第 12 题

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The five tires of a car (four road tires and a full-sized spare) were rotated so that each tire was used the same number of miles during the first 30,000 miles the car traveled. For how many miles was each tire used?
一辆汽车的五只轮胎(四只行驶轮胎和一只全尺寸备胎)被轮换使用,使得在汽车行驶的前 30,000 英里中每只轮胎使用相同的里程。每只轮胎被使用了多少英里?
  1. A.6000
  2. B.7500
  3. C.24,000
  4. D.30,000
  5. E.37,500

正确答案 · Correct Answer

C

解析 · Solution

Solution 1

In the 30,000 miles, four tires were always used at one time, so the amount of miles the five tires were used in total is 30,000×4=120,000. Five tires were used and each was used equally, so each tire was used for 120,0005=(C) 24,000\displaystyle \frac{120,000}{5} = \text{(C) 24,000}.

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