Question

Karl 的汽车每 $35$ 英里用一加仑汽油，油箱加满时可装 $14$ 加仑。

某天，Karl 出发时油箱是满的，开了 $350$ 英里后买了 $8$ 加仑汽油，然后继续开到目的地。到达时，他的油箱还有一半满。Karl 那天一共开了多少英里？

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?

$525$

$560$

$595$

$665$

$735$

答案：A

知识点：速率

难度评级：1170

视频讲解：

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文字解答：

Karl 开 $350$ 英里用了 $350 / 35$ 加仑汽油。

他又加了 $8$ 加仑到原来剩下的 $14 - 10 = 4$ 加仑中，一共有 $12$ 加仑。

到达时油箱半满，所以后来又用了 $12 - 7 = 5$ 加仑，对应 $5 \cdot 35 = 175$ 英里。

因此他行驶的总路程为 $350+175=525$ 英里。

所以正确答案是 A。

If Karl drove $350$ miles, then he used $350 / 35$ gallons of gas.

When he bought more gas, he added $8$ gallons to $14 - 10 = 4$ gallons, attaining a total of $12$ gallons.

If his tank was half full when he arrived, he used $12 - 7 = 5$ gallons, which equates to $5 \cdot 35 = 175$ miles.

Therefore, he traveled a total distance of $350+175=525$ miles.

Thus, A is the correct answer.

2016 AMC 8 第 14 题

答案：A

难度评级：1170

视频讲解：

文字解答：

其他年份的第 14 题