AMC 8 2017 Problem 23

AMC8 2017 年第 23

整除与因数★★★★
Each day for four days, Linda traveled for one hour at a speed that resulted in her traveling one mile in an integer number of minutes. Each day after the first, her speed decreased so that the number of minutes to travel one mile increased by 5 minutes over the preceding day. Each of the four days, her distance traveled was also an integer number of miles. What was the total number of miles for the four trips?
四天里的每一天,Linda 每天都旅行 1 小时,并且每天的旅行速度都满足这样的要求:保证旅行 1 英里所花的分钟数都是整数。第一天之后的每一天,她的速度不断降低,使得旅行 1 英里后一天所花的分钟数比前一天多 5 分钟。这 4 天的每一天,她所旅行的路程也都是个整数。那么这 4 天的总路程是多少英里?
  1. A.10
  2. B.15
  3. C.25
  4. D.50
  5. E.82

正确答案 · Correct Answer

C

解析 · Solution

解析整理中

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