The Quasi JX is a new car model. Under ideal driving conditions, the Quasi Jx's fuel economy is E kilometers...

Phase 1: Owning the Dataset

Start with Concrete Numbers

Let's pick specific values to understand the relationships:

• Speed \(\mathrm{S = 100\,km/h}\)
• Fuel economy \(\mathrm{E = 20\,km/L}\)

Visualization

Since we're dealing with rates and relationships, let's create a simple rate diagram:

Fuel Economy: E km/L → Car travels E kilometers using 1 liter
Speed: S km/h → Car travels S kilometers in 1 hour

Key Relationship:
Distance = Fuel Economy × Fuel Used
Fuel Used = Distance ÷ Fuel Economy

Phase 2: Understanding the Question

Breaking Down the Requirements

Statement 1: Liters of fuel in 1 hour

• In 1 hour, the car travels S kilometers (since speed = S km/h)
• To find fuel used: \(\mathrm{Distance ÷ Fuel\,Economy = S ÷ E}\)

Statement 2: Liters of fuel in 60 km

• The car travels 60 kilometers
• To find fuel used: \(\mathrm{Distance ÷ Fuel\,Economy = 60 ÷ E}\)

Key Insight

The fundamental formula is: Fuel Used = Distance Traveled ÷ Fuel Economy

Phase 3: Finding the Answer

Systematic Analysis

For Statement 1 (Liters in 1 hour):

• Distance in 1 hour = S km
• Fuel used = \(\mathrm{S ÷ E = S/E}\) liters

Verifying with our example: \(\mathrm{100\,km ÷ 20\,km/L = 5\,liters}\) ✓

For Statement 2 (Liters in 60 km):

• Distance = 60 km
• Fuel used = \(\mathrm{60 ÷ E = 60/E}\) liters

Verifying with our example: \(\mathrm{60\,km ÷ 20\,km/L = 3\,liters}\) ✓

Phase 4: Solution

Final Answer

• Statement 1 (Liters of fuel in 1 hour): \(\mathrm{S/E}\)
• Statement 2 (Liters of fuel in 60 km): \(\mathrm{60/E}\)

Both answers follow directly from the relationship: when fuel economy is E km/L, the fuel needed equals distance divided by E.