(I got two, you just need tell me the third) You and your friends are organizing

Question

(I got two, you just need tell me the third)

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 km. Consider the euro-dollar exchange rate given in the introduction and use unit conversion to work through these simple problems.

1.

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?

Express your answer numerically in US dollars to three significant figures.

Answer:383 USD

2.

How many gallons of fuel would the rental car consume per mile?

Express your answer numerically in gallons per mile to three significant figures.

Answer:2.55x10^-2 gallons/mile

3.

What is the average cost, in dollars per gallon, of fuel in Europe?

Express your answer numerically in dollars per gallon to three significant figures.

Answer: USD/gallon ?

Explanation / Answer

Answer

1. total distance is 5000km

for 100 km fuel consumption is 6 litres

so for 1km it is 16.666km can travel

then 5000 km can travel with a fuel of = 5000 / 16.666

= 300.012 litres

so each litres cost is 1.063 euro/litre

then for 300.012 litres the cost in euros is = 300.012 X 1.063

= 318.91 euro

an echange rate of 1 euro = 1.20 dolloers

then 318.91 X 1.20 = 382.692 = 383 USD

2 .

1 km = 0.621371 miles

and

1 litre = 0.2641 us gallons then

then total 5000km distance travelled then

5000 X 0.621371= 3106.855 miles travelled

but for 16.66 km 1 litres petrol required

same way 16.66 km = 16.66 X 0.621371 miles = 10.35 miles

= 3106.855 / 10.35

= 300.17

so 300.17 X 0.2641 us gallon

79.27 us gallon is the total petrol required

then

gallons of fuel would the rental car consume per mile is 79.27 / 3106.855 = 0.0255 gallon/mile

or

= 2.55 X 10-2 gallon/mile

3 .

1 euro = 1.20 USD

for 16.66 km 1 litre requires means

100 km 6 litres requires

6 X 0.2641 = 1.58 gallon for 100 km

then 1 km = 0.0158 gallon

1 litre = 1.063 euro = 1.063 X 1.20 USD = 1.27 USD

1 litre = 0.2641 gallon = 1.27 USD

for 5000 km = 5000 X 0.0158 gallon requires = 79.27 gallon

in the above for total trip 383 USD requires for 79.27 gallon petrol

then 383/79.27 = 4.83 USD/gallon

383 USD for whole trip (in dollers)

then in euros for trip is 318.91 euros

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