If 24 workers can build a wall in 15 days, how many days will 8 workers take to build a similar wall?

Options

A. 12 days
B. 45 days
C. 18 days
D. none of these

Answer

To solve the problem step by step, we can use the concept of work done by workers.

**Step 1: Calculate the total work done in worker-days.**
If 24 workers can build a wall in 15 days, we first find out how many total worker-days are needed to build the wall.
Total work = Number of workers × Number of days
Total work = 24 workers × 15 days = 360 worker-days.

**Step 2: Determine how many days it will take for 8 workers to complete the same work.**
Now, we need to find out how many days it will take for 8 workers to complete the same amount of work (360 worker-days).
Let the number of days required for 8 workers be \( x \).
So, we can set up the equation:
8 workers × \( x \) days = 360 worker-days.
This can be written as:
8x = 360.

**Step 3: Solve for \( x \).**
To find \( x \), we divide both sides of the equation by 8:
\( x = \frac{360}{8} \).
Calculating this gives:
\( x = 45 \).

Therefore, it will take 8 workers 45 days to build the wall.

### Final Answer:
8 workers will take 45 days to build the wall.

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