1
Question
A tourist purchases a car in England and ships it home to the United States. The car stickers advertised that the car's fuel consumption was 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 =4.546 090 0 litres
1 U.S. gallon =3.785 411.8 litres
For a trip of 750 miles (in the United states), how many gallons of fuel does
the car actually require?
The tourist does not realize that the U.K. gallon differs from the U.S. gallon:
1 U.K. gallon =4.546 090 0 litres
1 U.S. gallon =3.785 411.8 litres
For a trip of 750 miles (in the United states), how many gallons of fuel does
the car actually require?
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Solution
As we know,This problem compares the U.K gallon with U.S. gallon two non SI units for volume. The interpretation of the type of gallon whether U.K or U.S. affects the amount of gasoline one calculate for travelling a given distance.
If the fuel consumption rate is R (in miles/gallon), then the amount of gasoline (in gallons) needed for a trip of distance d (in miles) would be
V (gallon)=d(miles)R(miles/gallon)
Since the car was manufactured in the U.K. the fuel consumption rate is calibrated based on U.K. gallon and the correct interpretation should be 40 miles per U.K. gallon. In U.K. one would think of gallon; however in the U.S. the word gallon would naturally be interpreted as U.S> gallon. Note also that since 1 U.K. gallon =4.5460900 L nad 1 U.S. gallon =3.7854118 L, the relationship between the two is
1 U.K. gallon =(4.5460900 L)(1. U.S gallon3.7854118 L)=1.20095 U.S gallons
Using the conversion factor found above, the actual amount required is equivalent to
V′=(18.75 U.K gallons)×(1.20095 U.S. gallons1 U,K, gallon)≈22.5 U.S. gallons.
This problem compares the U.K gallon with U.S. gallon two non SI units for volume. The interpretation of the type of gallon whether U.K or U.S. affects the amount of gasoline one calculate for travelling a given distance.
If the fuel consumption rate is R (in miles/gallon), then the amount of gasoline (in gallons) needed for a trip of distance d (in miles) would be
V (gallon)=d(miles)R(miles/gallon)
Since the car was manufactured in the U.K. the fuel consumption rate is calibrated based on U.K. gallon and the correct interpretation should be 40 miles per U.K. gallon. In U.K. one would think of gallon; however in the U.S. the word gallon would naturally be interpreted as U.S> gallon. Note also that since 1 U.K. gallon =4.5460900 L nad 1 U.S. gallon =3.7854118 L, the relationship between the two is
1 U.K. gallon =(4.5460900 L)(1. U.S gallon3.7854118 L)=1.20095 U.S gallons
Using the conversion factor found above, the actual amount required is equivalent to
V′=(18.75 U.K gallons)×(1.20095 U.S. gallons1 U,K, gallon)≈22.5 U.S. gallons.
If the fuel consumption rate is R (in miles/gallon), then the amount of gasoline (in gallons) needed for a trip of distance d (in miles) would be
V (gallon)=d(miles)R(miles/gallon)
Since the car was manufactured in the U.K. the fuel consumption rate is calibrated based on U.K. gallon and the correct interpretation should be 40 miles per U.K. gallon. In U.K. one would think of gallon; however in the U.S. the word gallon would naturally be interpreted as U.S> gallon. Note also that since 1 U.K. gallon =4.5460900 L nad 1 U.S. gallon =3.7854118 L, the relationship between the two is
1 U.K. gallon =(4.5460900 L)(1. U.S gallon3.7854118 L)=1.20095 U.S gallons
Using the conversion factor found above, the actual amount required is equivalent to
V′=(18.75 U.K gallons)×(1.20095 U.S. gallons1 U,K, gallon)≈22.5 U.S. gallons.
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