Question

You and your friends are organizing a trip to Europe. Your plan is to rent a car and drive through the major European capitals. By consulting a map you estimate that you will cover a total distance of 5000 kmkm. Consider the euro-dollar exchange rate given in the introduction and use unit conversion to work through these simple problems.

Required:
a. You select a rental package that includes a car with an average consumption of 6.00 liters of fuel per 100 km. Considering that in Europe the average fuel cost is 1.063 euros/liter, how much (in US dollars) will you spend in fuel on your trip?
b. How many gallons of fuel would the rental car consume per mile?
c. What is the average cost, in dollars per gallon, of fuel in Europe?

Answer 1

$383

0.0255

4.83

Step-by-step explanation:

We're asked to find the total fuel consumed over distance traveled and the cost of given fuel.

To start with, we convert Euro value to USD

Total distance traveled is 5000 km

Average fuel consumption is 6 ltr per 100 km = 0.06 ltr/km

Average fuel cost is 1.063 EUR/ltr

We're going to use a flat rate of 1 EUR to USD = 1.2 USD

To get the total fuel consumption, we use the formula

Total fuel consumption = total distance * average fuel consumption

Total fuel consumption = 5000 km * 0.06 ltr/km

Total fuel consumption = 300 ltr

Finding the total fuel cost, we use the formula

Total fuel cost = total fuel consumption * average fuel cost

Total fuel cost = 300 ltr * 1.063 EUR/ltr

Total fuel cost = 318.9 EUR

Total fuel cost in USD then is, 318.9 EUR × 1.2 USD/EUR

Total fuel cost = 383 USD

b

To convert given fuel consumption to mile per km

Average fuel consumption is 0.06 ltr/km

Conversion rate of Ltr to gal is 1 ltr = 0.264 gal/ltr

Conversion of Km to mile is 1 km = 0.621 mile/km

Going forward, the Average fuel consumption = 0.06 ltr/km * 0.264 gal/ltr ÷ 0.621 mile/km

Average fuel consumption = 0.01584 / 0.621

Average fuel consumption = 0.0255 gal/km

c) to convert given cost of fuel to USD/gal, we say

Average fuel cost is 1.063 EUR/ltr

We'd already stated that the following rates

EUR to USD = 1.2 USD/EUR

Ltr to gal = 0.264 gal/ltr

Average fuel cost = 1.063 EUR/ltr * 1.2 USD/EUR ÷ 0.264 gal/ltr

Average fuel cost = 1.2756 / 0.264

Average fuel cost = 4.83 USD/gal