A man do a work in 12 days working 8 h per day. If he does 6 h per day, what would be the number of days taken by him?

Options

A. 12 days
B. 14 days
C. 16 days
D. 18 days

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Calculate the total work done
The man works for 12 days, and each day he works for 8 hours.
To find the total work done, we multiply the number of days by the number of hours worked each day.

\[ \text{Total Work} = \text{Number of Days} \times \text{Hours per Day} = 12 \, \text{days} \times 8 \, \text{hours/day} = 96 \, \text{hours} \]

### Step 2: Determine the number of days required at 6 hours per day
Now that we know the total work is 96 hours, we need to find out how many days it will take if he works 6 hours each day.

We can use the formula:

\[ \text{Number of Days} = \frac{\text{Total Work}}{\text{Hours per Day}} \]

Substituting the values we have:

\[ \text{Number of Days} = \frac{96 \, \text{hours}}{6 \, \text{hours/day}} = 16 \, \text{days} \]

### Conclusion
Thus, if the man works for 6 hours per day, it will take him **16 days** to complete the work.

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