A man working 6 hours a day takes 8 days to complete a project. How many hours a day must he work to complete. It in 3 days?

Options

A. 16
B. 10
C. 20
D. 15

Answer

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

### Step 1: Calculate the total work done
The man works 6 hours a day for 8 days. To find the total work done in hours, we multiply the number of hours worked per day by the number of days worked.

\[ \text{Total work} = \text{Hours per day} \times \text{Number of days} = 6 \text{ hours/day} \times 8 \text{ days} = 48 \text{ hours} \]

### Step 2: Determine the required hours per day to complete the work in 3 days
Now that we know the total work required is 48 hours, we need to find out how many hours he must work each day to complete this work in 3 days. We do this by dividing the total work by the number of days.

\[ \text{Hours per day} = \frac{\text{Total work}}{\text{Number of days}} = \frac{48 \text{ hours}}{3 \text{ days}} = 16 \text{ hours/day} \]

### Conclusion
The man must work **16 hours a day** to complete the project in 3 days.

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