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How many gallons are sprayed per mile by an aircraft traveling at 130 miles per hour with an output rate of 8 gallons per minute?

  1. 2.5 gallons per mile

  2. 3.7 gallons per mile

  3. 5 gallons per mile

  4. 6 gallons per mile

The correct answer is: 3.7 gallons per mile

To determine how many gallons are sprayed per mile by the aircraft, it's important to first calculate how long it takes the aircraft to travel one mile, and then use that duration to find out how many gallons are sprayed in that time. When an aircraft is traveling at a speed of 130 miles per hour, it's helpful to convert that to a time frame of minutes for better clarity. Since there are 60 minutes in an hour, the time taken to travel one mile can be calculated as follows: 1. Calculate the time in hours to travel one mile: - Time (in hours) = Distance (1 mile) / Speed (130 mph) = 1/130 hours. 2. Convert that time from hours to minutes: - Time (in minutes) = (1/130) hours × 60 minutes/hour = 60/130 minutes, which simplifies to approximately 0.462 minutes. Now that we have the time taken to travel one mile, we can find out how many gallons are sprayed during that time: 3. Calculate the amount of spray output during that time: - Output rate = 8 gallons per minute. - In 0.462 minutes, the gallons sprayed = 8 gallons/minute ×