Convert 36 miles per gallon into kilometres per litre (km/1)

Convert 36 miles per gallon into kilometres per litre (km/1).
Use the conversions 5 miles = 8 kilometres and 2 gallons = 9 litres. If your answer is a decimal, give it to 1 d.p.

The correct answer and explanation is:

To convert 36 miles per gallon (mpg) into kilometers per liter (km/l), we need to use the provided conversion factors:

• 5 miles = 8 kilometers
• 2 gallons = 9 liters

Step-by-step process:

1. Convert miles to kilometers:
   • From the conversion 5 miles = 8 kilometers, we can set up a ratio to convert miles to kilometers.
   \frac{8 , \text{km}}{5 , \text{miles}} \times 36 , \text{miles} = \frac{8 \times 36}{5} = 57.6 , \text{km}
   ]
   So, 36 miles is equivalent to 57.6 kilometers.
2. Convert gallons to liters:
   • From the conversion 2 gallons = 9 liters, we can set up a ratio to convert gallons to liters.
   \frac{9 , \text{liters}}{2 , \text{gallons}} = \frac{9}{2} = 4.5 , \text{liters per gallon}
   ]
   So, 1 gallon equals 4.5 liters.
3. Calculate kilometers per liter:
   • Now, to convert 36 mpg into km/l, we divide the number of kilometers (57.6 km) by the number of liters (4.5 liters).
   \frac{57.6 , \text{km}}{4.5 , \text{liters}} = 12.8 , \text{km/l}
   ]

Thus, 36 miles per gallon is equivalent to 12.8 kilometers per liter.

Explanation:

This conversion process relies on using proportional relationships to convert miles to kilometers and gallons to liters. By multiplying the number of miles by the appropriate factor (8 km per 5 miles), we convert the distance into kilometers. Similarly, by dividing by the number of liters per gallon (4.5 liters per gallon), we get the final result in kilometers per liter.

This method ensures that the units are correctly converted and gives us the precise value in km/l.