Question

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?

$525$

$560$

$595$

$665$

$735$

Video solution:

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Written solution:

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 travelled a total distance of $350 + 175 = 525\text{ miles.}$

Thus, A is the correct answer.

2016 AMC 8 Problem 14

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Problem 14 in Other Years