To find out how much distance a car will cover with a given amount of petrol, we can use the unit rate of distance per liter and then multiply it by the number of liters.
Here's the step-by-step solution:
1. Understand the unit rate:
The car covers 28.7 kilometers with one liter of petrol. This means for every liter of petrol, the car can travel 28.7 kilometers.
2. Total amount of petrol available:
The car has 4.6 liters of petrol.
3. Calculate the total distance:
To find the total distance the car will cover with 4.6 liters of petrol, multiply the distance covered per liter by the number of liters of petrol.
[tex]\[
\text{Total Distance} = \text{Distance per Liter} \times \text{Number of Liters}
\][/tex]
4. Substitute the given values:
- Distance per liter: 28.7 km/liter
- Number of liters: 4.6 liters
[tex]\[
\text{Total Distance} = 28.7 \text{ km/liter} \times 4.6 \text{ liters}
\][/tex]
5. Result:
After performing the multiplication, you get:
[tex]\[
\text{Total Distance} = 132.01999999999998 \text{ kilometers}
\][/tex]
Therefore, the car will cover approximately 132.02 kilometers with 4.6 liters of petrol.
