A tourist purchases a car in England and ships it home to the United States. The

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

Explanation / Answer

Car is made in UK.

so 40 miles in 1 gallon = 40 miles in 4.5459631 L

so 8.7999 miles in 1L.

for trip of 752 miles, fuel actually needed = 752 / 8.7999

= 85.46411 L

(A) gallons of fuel = 752 / 40 = 18.8 gallons

(B) in actual, gallons of fuel = 85.46411 / 3.785306

= 22.6 gallons

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