16 men can reap a field in 30 days .How many men must be engaged to reap the same field in 24 days ?

Answer

To solve the problem step by step, we will apply the unitary method.

### Step 1: Understand the Given Information
We know that 16 men can reap a field in 30 days.

### Step 2: Calculate the Total Work in Man-Days
First, we need to calculate the total amount of work done in man-days.
- Total work = Number of men × Number of days
- Total work = 16 men × 30 days = 480 man-days

### Step 3: Determine the Work Required Per Day
Now, we need to find out how many men are required to complete the same amount of work in 24 days.
- Work required per day = Total work / Number of days
- Work required per day = 480 man-days / 24 days = 20 men

### Conclusion
Therefore, to reap the same field in 24 days, **20 men** must be engaged.

---