2016 AMC 8 Problems/Problem 14
Problem
Karl's car uses a gallon of gas every 
miles, and his gas tank holds 
gallons when it is full. One day, Karl started with a full tank of gas, drove 
miles, bought 
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?
Solution
Since he uses a gallon of gas every miles, he had used 
gallons after miles. Therefore, after the first leg of his trip he had 
gallons of gas left. Then, he bought gallons of gas, which brought him up to 
gallons of gas in his gas tank. When he arrived, he had 
gallons of gas. So he used 
gallons of gas on the second leg of his trip. Therefore, the second part of his trip covered 
miles. Adding this to the miles, we see that he drove 
miles.
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See Also
| 2016 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
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