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 kilometres per litre (km/L), we will use the provided conversion factors:
- 5 miles = 8 kilometres
- 2 gallons = 9 litres
Step-by-Step Conversion:
- Convert miles to kilometres:
First, we need to convert miles into kilometres. Using the conversion factor 5 miles = 8 kilometres, we can find the equivalent kilometres for 1 mile: 1 mile=85 kilometres=1.6 kilometres1 \text{ mile} = \frac{8}{5} \text{ kilometres} = 1.6 \text{ kilometres} So, 36 miles is: 36 miles×1.6 kilometres per mile=57.6 kilometres36 \text{ miles} \times 1.6 \text{ kilometres per mile} = 57.6 \text{ kilometres} - Convert gallons to litres:
Next, we need to convert gallons into litres. Using the conversion factor 2 gallons = 9 litres, we can find the equivalent litres for 1 gallon: 1 gallon=92 litres=4.5 litres1 \text{ gallon} = \frac{9}{2} \text{ litres} = 4.5 \text{ litres} So, 1 gallon is 4.5 litres, and we can now find the equivalent number of litres for 1 gallon: 36 miles per gallon→57.6 kilometres4.5 litres=12.8 km/L36 \text{ miles per gallon} \rightarrow \frac{57.6 \text{ kilometres}}{4.5 \text{ litres}} = 12.8 \text{ km/L}
Final Answer:
The conversion of 36 miles per gallon to kilometres per litre is 12.8 km/L.
This result shows the fuel efficiency in a different unit, making it easier to understand in regions where kilometres and litres are the standard units for distance and volume. The method involves basic unit conversions using the provided conversion factors, first converting miles to kilometres, then gallons to litres.