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Assume a Zambian car is advertised as having a gas mileage of 56 km/L. Convert this rating to miles per gallon (mpg).

Sagot :

To convert the gas mileage of a Zambian car from kilometers per liter (km/L) to miles per gallon (mpg), we need to perform a two-step conversion process:

Step 1: Convert kilometers to miles

We know that 1 kilometer is approximately equal to 0.621371 miles. Therefore, if the car travels 56 kilometers per liter, we can calculate the equivalent distance in miles:

[tex]\[ \text{miles per km} \approx 0.621371 \][/tex]

Multiplying the distance in kilometers by this conversion factor:

[tex]\[ 56 \, \text{km} \times 0.621371 \, \text{miles/km} \approx 34.796776 \, \text{miles} \][/tex]

So, 56 kilometers is roughly equivalent to 34.796776 miles.

Step 2: Convert liters to gallons

We know that 1 liter is approximately equal to 0.264172 gallons. Therefore, we can convert the amount of fuel from liters to gallons:

[tex]\[ \text{liters per gallon} \approx 0.264172 \][/tex]

To find miles per gallon, we divide the miles by the number of gallons:

[tex]\[ \frac{34.796776 \, \text{miles}}{0.264172 \, \text{gallons}} \approx 131.72015202216738 \, \text{miles per gallon} \][/tex]

So, 56 km/L is approximately equivalent to 131.72015202216738 miles per gallon (mpg).

Therefore, the gas mileage of a Zambian car with a rating of 56 km/L converts to approximately 34.796776 miles and 131.72015202216738 miles per gallon.