AMC 8 2016 Problem 14
AMC8 2016 年第 14 题
方程与不等式★★★☆☆
Karl's car uses a gallon of gas every 35 miles, and his gas tank holds 14 gallons when it is full. One day, Karl started with a full tank of gas, drove 350 miles, bought 8 gallons of gas, and continued driving to his destination. When he arrived, his gas tank was half full. How many miles did Karl drive that day?
Karl 的汽车每开 35 英里就需要 1 加仑汽油，且当他的油缸加满时，可以装 14 加仑的汽油。
一天，Karl 开始他的行程前，把油缸加满了汽油，接着开了 350 英里，之后买了 8 加仑汽油，然后继续开到目的地。当他到达目的地时，他的油缸只剩下一半汽油。问 Karl 那天总共开了多少英里？
- A.525
- B.560
- C.595
- D.665
- E.735
正确答案 · Correct Answer
A
解析 · Solution
Solution 1
Since he uses a gallon of gas every 35 miles, he had used gallons after 350 miles. Therefore, after the first leg of his trip he had 14 - 10 = 4 gallons of gas left. Then, he bought 8 gallons of gas, which brought him up to 12 gallons of gas in his gas tank. When he arrived, he had gallons of gas. So he used 5 gallons of gas on the second leg of his trip. Therefore, the second part of his trip covered miles. Adding this to the 350 miles, we see that he drove 350 + 175 = 525 miles.
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