To solve this problem, we can use the concept of direct proportionality. The distance a vehicle can travel is directly proportional to the amount of fuel it uses.

Step 1: Determine the distance per liter of fuel.

Given:

• Distance traveled with 15 liters of fuel = 180 km

First, calculate how far the vehicle travels per liter of fuel: $\text{Distance per liter} = \frac{180 \text{ km}}{15 \text{ liters}} = 12 \text{ km/liter}$

Step 2: Calculate the distance with 25 liters of fuel.

Now, multiply the distance per liter by the amount of fuel available (25 liters): $\text{Distance with 25 liters} = 12 \text{ km/liter} \times 25 \text{ liters} = 300 \text{ km}$

Final Answer:

The vehicle can travel 300 kilometers using 25 liters of fuel.

Would you like more details or have any questions about this solution?

Here are five related questions:

1. If the vehicle's fuel efficiency decreases, how would that affect the distance it can travel?
2. How much fuel would be needed for the vehicle to travel 500 kilometers?
3. What would happen to the distance if the vehicle's fuel efficiency improved to 15 km/liter?
4. If the vehicle traveled 240 km with 20 liters of fuel, what is its fuel efficiency?
5. How would you calculate the fuel efficiency if the vehicle traveled a certain distance with a given amount