# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-10/10

Exercises: Try Out - Set 10: Real exam simulation to sharpen your skills and build confidence. - Average Speed

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## Exercise 10

### Question

export const metadata = {
  title: "Average Speed",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/27/2025",
};

Nina runs at a constant speed of <InlineMath math="5 \text{ km/h}" />. And she walks at a speed of <InlineMath math="1 \text{ km/h}" />. If Nina travels <InlineMath math="3 \text{ km}" /> by running for half of the total travel time and walking for the rest, what is the total time taken by Nina?


### Choices

- [ ] $$15$$ minutes
- [ ] $$30$$ minutes
- [ ] $$45$$ minutes
- [x] $$60$$ minutes
- [ ] $$75$$ minutes

### Answer & Explanation

export const metadata = {
  title: "Average Speed Explanation",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/27/2025",
};

We know that:

<MathContainer>
  <BlockMath math="\text{speed} \times \text{time} = \text{distance}" />
</MathContainer>

Then:

| | Speed | Time | Distance |
| :--- | :--- | :--- | :--- |
| Run | <InlineMath math="5 \text{ km/h}" /> | <InlineMath math="x \text{ hours}" /> | <InlineMath math="5x \text{ km}" /> |
| Walk | <InlineMath math="1 \text{ km/h}" /> | <InlineMath math="x \text{ hours}" /> | <InlineMath math="x \text{ km}" /> |

Nina travels a distance of <InlineMath math="3 \text{ km}" />.

<MathContainer>
  <BlockMath math="\text{running} + \text{walking} = 3 \text{ km}" />
</MathContainer>

<MathContainer>
  <BlockMath math="5x \text{ km/h} + x \text{ km/h} = 3 \text{ km}" />
</MathContainer>

<MathContainer>
  <BlockMath math="6x \frac{\text{km}}{\text{h}} = 3 \text{ km}" />
</MathContainer>

<MathContainer>
  <BlockMath math="x = \frac{1}{2} \text{ hour}" />
</MathContainer>

The total time taken by Nina is the sum of the time spent running and walking, which is:

<MathContainer>
  <BlockMath math="\text{Total time} = x + x = 2x" />
</MathContainer>

<MathContainer>
  <BlockMath math="\text{Total time} = 2 \left(\frac{1}{2}\right) = 1 \text{ hour}" />
</MathContainer>

Convert to minutes:

<MathContainer>
  <BlockMath math="1 \text{ hour} = 60 \text{ minutes}" />
</MathContainer>

Thus, the total time taken by Nina is <InlineMath math="60" /> minutes.


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