# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-8/13

Exercises: Try Out - Set 8: Real exam simulation to sharpen your skills and build confidence. - Problem 13

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## Exercise 13

### Question

export const metadata = {
  title: "Problem 13",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/25/2025",
};

A fabric company requires <InlineMath math="20" /> workers to complete an order in <InlineMath math="12" /> days. If the number of orders remains unchanged but only <InlineMath math="15" /> people can work on the order, then the additional time required to complete the order is ... days


### Choices

- [x] $$4$$
- [ ] $$8$$
- [ ] $$10$$
- [ ] $$14$$
- [ ] $$16$$

### Answer & Explanation

export const metadata = {
  title: "Solution for Problem 13",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/25/2025",
};

The fewer workers there are, the longer it takes to complete the work. Thus, this is an inverse proportion.

Let <InlineMath math="x =" /> days required.

<BlockMath math="\begin{aligned} \frac{20}{15} &= \frac{x}{12} \\ x &= 16 \end{aligned}" />

So, the time required to complete the order if only <InlineMath math="15" /> people are working is <InlineMath math="16" /> days. Therefore, the additional time required is:

<BlockMath math="16 - 12 = 4 \text{ days}" />


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