Difference between revisions of "1986 AJHSME Problems/Problem 19"
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Revision as of 21:28, 3 July 2013
Problem
At the beginning of a trip, the mileage odometer read 
miles. The driver filled the gas tank with 
gallons of gasoline. During the trip, the driver filled his tank again with 
gallons of gasoline when the odometer read 
. At the end of the trip, the driver filled his tank again with 
gallons of gasoline. The odometer read 
. To the nearest tenth, what was the car's average miles-per-gallon for the entire trip?
Solution
The first six gallons are irrelevant. We start with the odometer at miles, and a full gas tank. The total gas consumed by the car during the trip is equal to the total gas the driver had to buy to make the tank full again, i.e., 
gallons. The distance covered is 
miles. Hence the average MPG ratio is 
.
See Also
| 1986 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 18 |
Followed by Problem 20 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
