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The document provided is a set of arithmetic reasoning questions related to the afoqt (air force officer qualifying test). The questions cover topics such as fuel consumption, tank capacity, and distance-speed-time calculations for cars and airplanes. The document aims to help individuals prepare for the arithmetic reasoning section of the afoqt, which is a standardized test used by the united states air force to evaluate the qualifications of officer candidates. The questions are designed to assess the candidate's ability to solve practical, real-world problems involving mathematical concepts and reasoning skills. By studying this document, individuals can improve their understanding of these types of problems and enhance their performance on the afoqt.
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If a car uses 1.5 gallons of gas every 30 miles, how many miles can be driven with 6 gallons of gas? - correct answer let x = miles per gallon 1.5x = 30 mpg divide both sides by 1.5 (the left cancels) 1.5/30 or move decimal place to left of each 15/300 = x x = 20mpg so now 6(20) = answer 120 miles = answer A car has a gasoline tank that holds 20 gallons. When the gauge reads 1/4 full, how many galleons are needed to fill the tank? - correct answer let x = the gallons needed for a full tank of 20 gal. 1/4 of 20 = .25(20) so there is currently 5gal. already in the tank of 20. 20 - 5 = x x = 15gal. 15gal. = answer An airplane flying a distance of 875 miles used 70 gallons of gasoline. How man gallons will it need to travel 3000 miles. - correct answer X = number of gallons needed to travel 3000 miles 875/70 = 3000/X 875X = 210, divide both sides by 875 (left cancels) 210,000 ÷ 875 = X X = 240 gallons needed to travel 3000 miles
The Mayflower sailed from Plymouth, England to Plymouth Rock a distance of approximately 2800 miles, in 63 days. The average speed in miles per hour was closest to what speed? - correct answer X = average speed of ship 2800/63(24hrs) = 2800/ 2800/1512 = 1.85mph round up to 2mph if necessary A man drives 60 miles to his destination at an average speed of 40 miles per hour and makes the return trip at an average rate of 30 miles per hour. His average speed in miles per hour for - correct answer c