1986 AMC 8 Problem 19
Attempt Problem 19 of the 1986 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1986 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
19.
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 the tank again with gallons of gasoline when the odometer read At the end of the trip, the driver filled the 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?
Answer: D
Small hint:
The gas used during the trip is only what was added after the start: gallons
Big hint:
Divide the total miles driven by the gallons used during the trip
Solution:
The trip was miles. The initial gallons only topped off the tank before the trip; the gas actually used during the trip is the gallons later added to replace it.
So the average is miles per gallon.
Thus, the correct answer is D .
Problem 19 in other years
- 1985 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
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