If 16 men can reap a field in 30 days.in how many days will 20 men reap the same field?

Options

A. `10. 2/3` days
B. 24 days
C. 25 days
D. `37. 1/2` days

Answer

To solve the problem step by step, we can use 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 done in man-days
First, we need to find out 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: Calculate the work done by one man
Now, we can find out how many days one man would take to complete the same work.
- If 16 men take 30 days, then 1 man would take:
- Total work (in man-days) = 480 man-days
- Days taken by 1 man = Total work / Number of men = 480 man-days / 1 man = 480 days

### Step 4: Calculate the time taken by 20 men
Now, we need to find out how many days it will take for 20 men to reap the same field.
- Days taken by 20 men = Total work / Number of men = 480 man-days / 20 men
- Days taken by 20 men = 480 / 20 = 24 days

### Final Answer
Thus, it will take 20 men 24 days to reap the same field.

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