Answer :

Sure, let's work through this problem step-by-step.

1. Identify the given values:
- The car's fuel efficiency is given as 28.7 kilometers per liter. This means the car can travel 28.7 km using 1 liter of petrol.
- You have 4.6 liters of petrol available.

2. Understand what is being asked:
- We need to find the total distance the car will cover with 4.6 liters of petrol.

3. Set up the equation:
- Since 1 liter of petrol allows the car to travel 28.7 km, you can multiply this distance by the number of liters available to find the total distance.
- The formula to use here is:
[tex]\[ \text{Total Distance} = \text{Distance per liter} \times \text{Number of liters} \][/tex]

4. Perform the calculation:
- Substitute the given values into the equation:
[tex]\[ \text{Total Distance} = 28.7 \, \text{km/liter} \times 4.6 \, \text{liters} \][/tex]

5. Multiply the numbers:
- When you multiply 28.7 by 4.6, the result is:
[tex]\[ 28.7 \times 4.6 = 132.01999999999998 \, \text{km} \][/tex]

6. State the final answer:
- The car will cover a total distance of 132.01999999999998 kilometers with 4.6 liters of petrol.

So, the car can travel approximately 132.02 kilometers with 4.6 liters of petrol.