A car uses 500ml of fuel to travel 5.5km. Approximately how many liters of fuel would the car use to travel 218km?
Understand the Problem
The question asks to calculate the amount of fuel in liters a car would use to travel 218km, given that it uses 500ml of fuel to travel 5.5km. We need to find the fuel consumption rate and scale it up for the longer distance.
Answer
$19.82$
Answer for screen readers
$19.82$ liters
Steps to Solve
- Convert ml to liters
Since the final answer needs to be in liters, convert the given fuel consumption from milliliters (ml) to liters (L). We know that 1 L = 1000 ml.
$$ 500 \text{ ml} = \frac{500}{1000} \text{ L} = 0.5 \text{ L} $$
- Calculate fuel consumption per km
Now, find out how much fuel (in liters) is used per kilometer. The car uses 0.5 L to travel 5.5 km. Therefore, the fuel consumption per km is:
$$ \frac{0.5 \text{ L}}{5.5 \text{ km}} \approx 0.0909 \text{ L/km} $$
- Calculate total fuel needed for 218 km
To find the total fuel needed for 218 km, multiply the fuel consumption per km by the total distance:
$$ 0.0909 \text{ L/km} \times 218 \text{ km} \approx 19.82 \text{ L} $$
$19.82$ liters
More Information
The car would use approximately 19.82 liters of fuel to travel 218 km.
Tips
A common mistake is to forget to convert milliliters to liters, leading to a much larger and incorrect answer. Always pay attention to the units. Another mistake would be incorrectly dividing the fuel consumption by the distance.
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