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Let's analyze the problem step by step:

### Given:
- **Flight time**: 3 hours 6 minutes = 186 minutes.
- **Taxi fuel**: 8 kg.
- **Block fuel**: 118 kg (this is the total fuel, including taxi fuel).
- **Reserve fuel requirement**: Must not be less than 30% of the remaining trip fuel at any time.

We need to find how much fuel should remain after **2 hours** of flight, i.e., 120 minutes out of 186 minutes.

### Step 1: Calculate the usable trip fuel
The **usable trip fuel** is the fuel available after taxi fuel is consumed:
\[ \text{Usable Trip Fuel} = \text{Block Fuel} - \text{Taxi Fuel} = 118\, \text{kg} - 8\, \text{kg} = 110\, \text{kg}. \]

### Step 2: Fuel consumption rate
Now, let's calculate the fuel consumption rate per minute. Since the flight time is 186 minutes, the rate of fuel consumption per minute is:
\[ \text{Fuel consumption rate} = \frac{\text{Usable Trip Fuel}}{\text{Flight Time}} = \frac{110\, \text{kg}}{186\, \text{minutes}} \approx 0.591\, \text{kg/minute}. \]

### Step 3: Fuel consumed after 2 hours (120 minutes)
After 2 hours (120 minutes), the fuel consumed is:
\[ \text{Fuel consumed} = 0.591\, \text{kg/min} \times 120\, \text{minutes} = 70.92\, \text{kg}. \]

So, the fuel remaining after 2 hours is:
\[ \text{Fuel remaining} = \text{Usable Trip Fuel} - \text{Fuel consumed} = 110\, \text{kg} - 70.92\, \text{kg} = 39.08\, \text{kg}. \]

### Step 4: Reserve fuel calculation
The reserve fuel must be at least 30% of the remaining **trip fuel** (not total remaining fuel). After 2 hours, the trip fuel remaining is:
\[ \text{Remaining trip fuel} = 39.08\, \text{kg}. \]

Thus, the reserve fuel should be:
\[ \text{Reserve Fuel} = 0.30 \times \text{Remaining Trip Fuel} = 0.30 \times 39.08 \approx 11.72\, \text{kg}. \]

### Step 5: Check the options
- Option **b**: 39 kg trip fuel and 12 kg reserve fuel.

This matches the closest values to our calculations, where the remaining trip fuel is about 39 kg and the reserve fuel is approximately 12 kg. Thus, the correct answer is:

**Option b: 39 kg trip fuel and 12 kg reserve fuel.**

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Would you like more details or have any further questions? Here are some related questions to expand on the concept:

1. How would the calculation change if the flight time were extended to 4 hours?
2. What is the significance of having a reserve fuel percentage in aviation?
3. How do weather conditions affect fuel consumption rates in aviation?
4. What is the typical taxi fuel in aviation, and why is it important to subtract it before flight calculations?
5. How do airlines calculate fuel requirements for long international flights?

**Tip:** Always account for the reserve fuel percentage, as it is a critical safety requirement in flight planning.

For a planned flight the calculated fuel is as follows: Flight time: 3h06min. The reserve fuel, at any time, should not be less than 30% of the remaining trip fuel. Taxi fuel: 8 kg. Block fuel: 118 kg. How much fuel should remain after 2 hours flight time? Options: a) 30 kg trip fuel and 9 kg reserve fuel. b) 39 kg trip fuel and 12 kg reserve fuel. c) 27 kg trip fuel and 12 kg reserve fuel. d) 39 kg trip fuel and no reserve fuel.

Understand how to calculate the remaining fuel after 2 hours of flight time with a detailed step-by-step solution. Learn key concepts like usable trip fuel, fuel consumption rate, and reserve fuel requirements. Suitable for students in Grades 10-12.

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