Answer :

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.