suppose a new car travels 70.0 miles on one gallon of gasoline with 40% efficient engine.
how much fuel is wasted annually due to energy efficiency if in one yr, 478.26 gallons of fuel is burned?
286.956 gallons!
70 - (40% of 70) = 42 = wasted fuel
set up a proportion
70/42 = 478.26/x
x= 286.956
im pretty sure that's how u do it...but not postivie...so check w. other resources!!!
To calculate the fuel wasted annually due to energy efficiency, you need to find the difference between the fuel burned and the fuel that would have been burned if the engine was 100% efficient.
Given:
Miles per gallon = 70.0
Efficiency = 40%
Fuel burned in one year = 478.26 gallons
Step 1: Calculate the fuel efficiency if the engine was 100% efficient.
In a 100% efficient engine, the car would have traveled 70.0 miles on 1 gallon of fuel. Therefore, the fuel efficiency would be 70.0 miles per gallon.
Step 2: Calculate the total distance traveled in one year:
To find the total distance traveled in one year, multiply the fuel burned in one year (478.26 gallons) by the fuel efficiency:
Total distance traveled = 478.26 gallons × 70.0 miles per gallon
Step 3: Calculate the fuel that would have been burned if the engine was 100% efficient:
To find the fuel that would have been burned if the engine was 100% efficient, divide the total distance traveled by the fuel efficiency of a 100% efficient engine:
Fuel burned with 100% efficiency = Total distance traveled / Fuel efficiency
Fuel burned with 100% efficiency = (478.26 gallons × 70.0 miles per gallon) / 70.0 miles per gallon
Step 4: Calculate the fuel wasted annually:
To find the fuel wasted annually, subtract the fuel burned with 100% efficiency from the actual fuel burned in one year:
Fuel wasted annually = Fuel burned in one year - Fuel burned with 100% efficiency
Now let's calculate it:
Fuel burned with 100% efficiency = (478.26 gallons × 70.0 miles per gallon) / 70.0 miles per gallon
Fuel burned with 100% efficiency = 478.26 gallons
Fuel wasted annually = Fuel burned in one year - Fuel burned with 100% efficiency
Fuel wasted annually = 478.26 gallons - 478.26 gallons
Fuel wasted annually = 0 gallons
Therefore, there is no fuel wasted annually due to energy efficiency, as the fuel burned is exactly the same as what would have been burned with 100% efficiency.
To determine the amount of fuel wasted annually due to energy efficiency, we need to calculate how many miles can be traveled with the given amount of fuel based on the car's fuel efficiency.
First, let's find out the number of miles that can be traveled with one gallon of gasoline by dividing the total mileage by the fuel efficiency:
Miles per gallon = Total mileage / Gallons of fuel burned
Miles per gallon = 70.0 miles / 1 gallon
Next, since the engine is 40% efficient, we need to calculate the actual number of miles that can be traveled with one gallon, taking into account the efficiency:
Actual miles per gallon = Efficiency * Miles per gallon
Actual miles per gallon = 0.40 * (70.0 miles / 1 gallon)
Now, we can determine the total number of miles that can be traveled annually based on the fuel burned:
Total annual mileage = Actual miles per gallon * Gallons of fuel burned
Total annual mileage = (0.40 * 70.0 miles/gallon) * 478.26 gallons
To find the amount of fuel wasted, we subtract the total mileage from the mileage that could have been achieved if the engine was 100% efficient:
Fuel wasted = Total annual mileage - (70.0 miles/gallon * 478.26 gallons)
Now we can calculate the fuel wasted annually due to energy efficiency.
I wouldn't do it that way.
Fuel burned in 1 yr = 478.26 gallons.
We wasted 40% or 0.4.
478.26 gal x 0.4 = 191.3 gal wasted.
[In the first answer by Tarun, the 70 - (40% of 70) = 42 is the 60% which is used, not the 40% which is wasted.
You can also do it another way.
70 mi/gal x 478.26 gal x 1.00 = 33,478.20 miles if 100% efficient.
70 mi/gal x 478.26 gal x 0.60 = 20,086.92 miles if 60% effecient.
The difference is 13,391.28 miles, which if the car was 100% efficient, would be 13,391.28/70 = 191.3 gallons wasted.