30 workers can dig a trench in 5 days. How many workers will be required to dig it in 6 days?

Answer

To solve the problem step by step, we can use the Unitary Method as follows:

### Step 1: Understand the given information
We know that:
- 30 workers can dig a trench in 5 days.

### Step 2: Calculate the total work done in worker-days
First, we need to determine the total amount of work done in worker-days. This can be calculated by multiplying the number of workers by the number of days they work.

Total work = Number of workers × Number of days
Total work = 30 workers × 5 days = 150 worker-days

### Step 3: Set up the equation for the new scenario
Now, we want to find out how many workers (let's call this number x) are needed to complete the same amount of work (150 worker-days) in 6 days.

So, we can set up the equation:
Total work = Number of workers × Number of days
150 worker-days = x workers × 6 days

### Step 4: Solve for x
Now, we can solve for x:
150 = x × 6

To find x, we divide both sides of the equation by 6:
x = 150 / 6

### Step 5: Calculate the value of x
Now, we perform the division:
x = 25

### Conclusion
Therefore, 25 workers will be required to dig the trench in 6 days.

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