A tourist purchases a car in England and ships it home to the United States. The car sticker advertised that the car's fuel consumption was at the rate of 40 miles per gallon on the open road. The tourist does not realize that the U.K. gallon differs from the U.S. gallon:

Question

A tourist purchases a car in England and ships it home to the United States. The car sticker advertised that the car's fuel consumption was at the rate of 40 miles per gallon on the open road. The tourist does not realize that the U.K. gallon differs from the U.S. gallon:

1 U.K. gallon = 4.545 963 1 liters
1 U.S. gallon = 3.785 306 0 liters

For a trip of 704 miles (in the United States), how many gallons of fuel does (a) the mistaken tourist believe she needs and (b) the car actually require?

Answer 1

gallons=rate*miles

rate=((40/4.545963) * 3.789060)

Answer 2

how am i suppose to know how much the mistaken tourist believe she needs?

Answer 3

To calculate how many gallons of fuel the mistaken tourist believes she needs and how many gallons the car actually requires for a trip of 704 miles in the United States, we need to convert the given fuel consumption rate from U.K. gallons to U.S. gallons.

(a) Let's start with how many gallons of fuel the mistaken tourist believes she needs. The car's advertised fuel consumption rate is 40 miles per U.K. gallon.

To convert this to U.S. gallons, we need to know the conversion rate between U.K. and U.S. gallons: 1 U.K. gallon is equal to 1.20095042 U.S. gallons (derived by dividing the conversion factor between the two types of gallons: 4.5459631 liters / 3.7853060 liters).

Now, let's calculate how many gallons the mistaken tourist believes she needs:

Gallons (tourist) = 40 miles / 1 U.K. gallon * 1 U.K. gallon / 1.20095042 U.S. gallons

Gallons (tourist) = 33.30 U.S. gallons (rounded to two decimal places)

Therefore, the mistaken tourist believes she needs approximately 33.30 U.S. gallons of fuel for the trip.

(b) Now let's calculate how many gallons of fuel the car actually requires for the trip of 704 miles in the United States.

To do this, we can now use the actual conversion rate of 1 U.S. gallon = 3.7853060 liters.

Gallons (car) = 40 miles / 1 U.K. gallon * 1 U.K. gallon / 4.5459631 liters * 3.7853060 liters / 1 U.S. gallon

Gallons (car) = 35.41 U.S. gallons (rounded to two decimal places)

Therefore, the car actually requires approximately 35.41 U.S. gallons of fuel for the trip.

In summary:
(a) The mistaken tourist believes she needs approximately 33.30 U.S. gallons of fuel.
(b) The car actually requires approximately 35.41 U.S. gallons of fuel.

A tourist purchases a car in England and ships it home to the United States. The car sticker advertised that the car's fuel consumption was at the rate of 40 miles per gallon on the open road. The tourist does not realize that the U.K. gallon differs from the U.S. gallon:

gallons=rate*miles

how am i suppose to know how much the mistaken tourist believe she needs?

jbnjj

To calculate how many gallons of fuel the mistaken tourist believes she needs and how many gallons the car actually requires for a trip of 704 miles in the United States, we need to convert the given fuel consumption rate from U.K. gallons to U.S. gallons.