If 48 men can dig a trench 14 days.how long will 28 men take to dig a simillar trench ?

Answer

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

### Step 1: Understand the given information
We know that 48 men can dig a trench in 14 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 = 48 men × 14 days = 672 man-days

### Step 3: Determine the work done by one man
Now, we can find out how much work one man can do in one day.
- Work done by one man in one day = Total work / Number of men
- Work done by one man in one day = 672 man-days / 48 men = 14 days

### Step 4: Calculate how long it will take for 28 men to do the same work
Now, we need to find out how many days it will take for 28 men to complete the same amount of work (672 man-days).
- Number of days required = Total work / Number of men
- Number of days required = 672 man-days / 28 men = 24 days

### Conclusion
Therefore, it will take 28 men 24 days to dig a similar trench.

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