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The image contains a mathematical problem involving fuel consumption over different terrains. Here's a breakdown:

1. **Problem Context:**
   - A vehicle consumes more fuel on uphill roads compared to downhill roads.
   - A Pertamina truck traveling on hilly terrain has the following fuel consumption rates:
     - **Uphill:** 5 km per liter
     - **Downhill:** 30 km per liter
     - **Flat terrain (reference):** 10 km per liter
   - The goal is to optimize travel costs by understanding the fuel consumption better.

2. **Question 16** asks:
   - To prove that traveling uphill and downhill over the same distance does not affect the average fuel consumption, regardless of the terrain's slope.

3. **Given Formula**:
   The problem provides or hints at using the formula for average fuel consumption (\( r_{\text{avg}} \)) to solve this, potentially based on total distance and fuel efficiency on different terrains.

### To proceed:
We can approach the proof by showing that when the distance is the same, the combined average fuel consumption of uphill and downhill travel can be derived using a specific formula for harmonic means, given the different fuel efficiencies for uphill and downhill.

Would you like me to proceed with the detailed mathematical explanation? 

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Here are 5 related questions you might explore:
1. How is average fuel consumption calculated for varying terrains?
2. Can the total fuel consumption change if the distance changes for uphill or downhill portions?
3. What is the significance of harmonic mean in problems involving varying rates?
4. How does slope steepness impact fuel consumption over time?
5. How would this model change with additional real-world factors like speed or wind?

**Tip:** In fuel-efficiency problems, the harmonic mean is often used to calculate average rates for two different conditions (uphill vs. downhill).

Buktikan bahwa jarak tempuh pada lintasan menanjak dan menurun tidak akan memengaruhi rata-rata bahan bakar yang dihabiskan asalkan jarak keduanya sama. Rumus yang tepat untuk menyatakan rata-rata bahan bakar (ravg) yang dihabiskan pada jarak yang sama adalah:

Learn how to prove that the total fuel consumption remains constant when traveling equal distances uphill and downhill. This problem involves understanding fuel efficiency rates, calculating average fuel consumption, and applying the harmonic mean for varying terrains.

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