Fuel Efficiency Math  Problem Set One
Question One: The Honda Pilot (the best ranking eight passenger SUV)
gets fuel efficiency of 17 mpg in the city and 24 mpg in the
highway. A person travels 10,000 city miles and 5,000 highway
miles per year in this vehicle. This information is summarized
below.
Honda Pilot Fuel
Efficiency and Use


City

HWAY


EPA MPG

17

24

Miles Driven

10,000

5,000

What is the total amount of
gasoline consumed per year by this individual?
What is the weighted (city/highway)
average fuel efficiency for this car?
What is the geometric average fuel
efficiency for this car?
What is the harmonic average fuel
efficiency for this car?
What average fuel efficiency
statistic – weighted, geometric or harmonic – should be used to calculate gas
consumed for this driver of the Honda Pilot?
Question Two: Assume that the typical car lasts 15
years. The car is driven 14000 miles per year with 9000 miles
in a city and 5000 miles per year on a highway. The fuel efficiency
in miles per gallon for the Toyota Prius and the Toyota Corolla are presented
below.
Fuel
Efficiency in miles
per
gallon


Toyota Prius

Toyota Corolla


City

51

30

Highway

48

42

Each gallon of gas consumed results
in the generation of 19.6 pounds of carbon dioxide.
What is the difference between the
CO_{2} generated over the lifetime of the Prius compared to the
lifetime of a Corolla?
Question Three: Gas mileage estimates for the Toyota Prius
and the Toyota Corolla are presented below.
Fuel Efficiency In
Miles Per Gallon


Toyota Prius

Toyota Corolla


City

51

30

HWAY

48

42

Driving patterns defined by total
miles driven in a year and percent of miles driven in city and in highway for
six drivers are presented below.
Six Driving
Scenarios


Driver #

Miles Driven Per Year

% City

% Highway

1

10,000

25

75

2

10,000

75

25

3

12,500

25

75

4

12,500

75

25

5

15,000

25

75

6

15,000

75

25

How much gas would the six drivers
use in a Prius and in Corolla over the course of a year?
How much would the six drivers
spend on gas in the two cars at a price of $3.50 per gallon?
How much would the six drivers
spend in gas in the two cars if the price of gas was $4.00 per gallon?
Question Four: This post is a limited comparison of four
cars – the Prius, Camry, Corolla, and Civic. We consider two
variables MSRP and lifetime fuel costs.
How do the net present value of total purchase costs and total
fuel costs for these four cars vary?
Basic Information and Assumptions:
Key information on the four cars
and mileage driven are presented in the Table below.
Four Car Comparison
Lifetime Purchase
and Fuel Costs


MSRP

MPG City

MPG HWAY

City Miles

HWAY Miles


Prius

$24,200

51

48

10000

5000

Camry

$22,235

25

35

10000

5000

Corolla

$16,800

30

42

10000

5000

Civic

$18,190

31

41

10000

5000

Key assumptions in the analysis:
Car is bought with cash at price
equal to MSRP.
The car is purchased and driven for
12 years. At the end of 12 years all four cars have a value of $0.
The cost of capital is assumed to
be 5%.
The price of gas is assumed to be
$3.50 or $4.00.
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