If 25 men can do a work in 36 days, in how many days will 15 men do it?

Options

A. A)40
B. B)50
C. C)52
D. D)60

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Calculate the Total Work
The total work can be calculated using the formula:
\[ \text{Total Work} = \text{Number of Men} \times \text{Number of Days} \]
In this case, we have 25 men working for 36 days. Therefore, the total work is:
\[ \text{Total Work} = 25 \text{ men} \times 36 \text{ days} = 900 \text{ man-days} \]

### Step 2: Set Up the Equation for 15 Men
Now, we need to find out how many days (let's call it \(D\)) it will take for 15 men to complete the same amount of work. Using the same formula for total work, we have:
\[ \text{Total Work} = \text{Number of Men} \times \text{Number of Days} \]
Substituting the values for 15 men:
\[ 900 \text{ man-days} = 15 \text{ men} \times D \text{ days} \]

### Step 3: Solve for \(D\)
Now, we can solve for \(D\):
\[ D = \frac{900 \text{ man-days}}{15 \text{ men}} = 60 \text{ days} \]

### Conclusion
Thus, it will take 15 men 60 days to complete the work.