22 men can complete a job in 16days. In how many days, will 32 men complete that job?

Options

A. 14
B. 12
C. 16
D. 11

Answer

To solve the problem step by step, we can use the concept of the Unitary Method.

### Step 1: Understand the problem
We know that 22 men can complete a job in 16 days. We need to find out how many days it will take for 32 men to complete the same job.

### Step 2: Calculate the total work in man-days
First, we calculate the total work required to complete the job in man-days.
Total work = Number of men × Number of days
Total work = 22 men × 16 days = 352 man-days

### Step 3: Determine the work done by 32 men
Now, we need to find out how many days it will take for 32 men to complete the same amount of work (352 man-days).

### Step 4: Set up the equation
Let the number of days taken by 32 men to complete the job be \( x \).
So, we can set up the equation:
Total work = Number of men × Number of days
352 man-days = 32 men × \( x \) days

### Step 5: Solve for \( x \)
Now, we can solve for \( x \):
\[ x = \frac{352 \text{ man-days}}{32 \text{ men}} \]
\[ x = 11 \text{ days} \]

### Conclusion
Thus, 32 men will complete the job in **11 days**.

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