https://file.aiquickdraw.com/mathbot/file/1727016833571w7cs8kwa.jpg

The problem presented in the image is in Hindi and translates to the following:

**Question:**
If 18 people can complete a task in 13 days, how many days will 54 people take to complete the same task?

**Answer Choices:**
1. \( \frac{13}{3} \) days
2. \( \frac{8}{5} \) days
3. 9 days
4. \( \frac{18}{4} \) days

### Solution:
This is a classic "Work and Time" problem, where the relationship between the number of workers and the time taken to complete the same task is inversely proportional. The formula to solve this problem is:

\[
\text{Work} = \text{Number of People} \times \text{Time}
\]

Let’s apply the formula:
- For 18 people to complete the task in 13 days:
\[
W = 18 \times 13
\]
- Now, for 54 people, let the number of days taken be \( x \). So the work done will be:
\[
W = 54 \times x
\]
Since the total work remains constant, we equate both expressions:
\[
18 \times 13 = 54 \times x
\]
Solving for \( x \):
\[
x = \frac{18 \times 13}{54} = \frac{13}{3}
\]

Thus, 54 people will complete the work in \( \frac{13}{3} \) days.

### Answer:
The correct answer is **Option

यदि 18 आदमी एक काम को 13 दिनों में पूरा कर सकते हैं, तो 54 आदमी उसी काम को कितने दिनों में पूरा करेंगे?

Solve this classic Work and Time problem: If 18 people can complete a task in 13 days, how many days will 54 people take? Detailed solution with explanation of inverse proportionality and work formula. Suitable for students in Grades 6-8.

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