Burning one gallon of gasoline in a car releases approximately 20 pounds of CO2 into the atmosphere.One person drives 60,000 miles in a car that averages 30 miles per gallon (mpg), while another person drives 60,000 miles in a car that averages 20 mpg. Over the course of the 60,000 miles, how many fewer pounds of CO2 are released by the 30 mpg car than by the 20 mpg car?
Question
Burning one gallon of gasoline in a car releases approximately 20 pounds of CO2 into the atmosphere.One person drives 60,000 miles in a car that averages 30 miles per gallon (mpg), while another person drives 60,000 miles in a car that averages 20 mpg. Over the course of the 60,000 miles, how many fewer pounds of CO2 are released by the 30 mpg car than by the 20 mpg car?
Solution
To solve this problem, we first need to determine how many gallons of gasoline each car uses to drive 60,000 miles.
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For the car that averages 30 miles per gallon (mpg), we divide the total miles (60,000) by the car's fuel efficiency (30 mpg). This gives us 60,000 miles / 30 mpg = 2,000 gallons of gasoline.
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For the car that averages 20 mpg, we divide the total miles (60,000) by the car's fuel efficiency (20 mpg). This gives us 60,000 miles / 20 mpg = 3,000 gallons of gasoline.
Next, we need to calculate how much CO2 each car releases. We know that burning one gallon of gasoline releases approximately 20 pounds of CO2.
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For the 30 mpg car, we multiply the gallons of gasoline used (2,000) by the CO2 emissions per gallon (20 pounds). This gives us 2,000 gallons * 20 pounds/gallon = 40,000 pounds of CO2.
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For the 20 mpg car, we multiply the gallons of gasoline used (3,000) by the CO2 emissions per gallon (20 pounds). This gives us 3,000 gallons * 20 pounds/gallon = 60,000 pounds of CO2.
Finally, we subtract the CO2 emissions of the 30 mpg car from the CO2 emissions of the 20 mpg car to find the difference.
- This gives us 60,000 pounds - 40,000 pounds = 20,000 pounds.
So, the 30 mpg car releases 20,000 fewer pounds of CO2 than the 20 mpg car over the course of 60,000 miles.
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