A is twice as good a workman as B. A takes 6 days to comlete a task. What time does B take to complete the work (in days)?

Options

A. 3
B. 6
C. 9
D. 12

Explanation

To solve the problem, we need to determine how long it takes for workman B to complete the task, given that A is twice as efficient as B and A takes 6 days to complete the task.

### Step-by-Step Solution:

1. **Understand the Efficiency Relationship**:
- Since A is twice as good a workman as B, we can say that if B's efficiency is 1 unit of work per day, then A's efficiency is 2 units of work per day.

2. **Calculate Total Work Done by A**:
- A completes the task in 6 days. Therefore, the total work can be calculated as:
\[ \text{Total Work} = \text{Efficiency of A} \times \text{Time taken by A} \]
Substituting the values:
\[ \text{Total Work} = 2 \text{ units/day} \times 6 \text{ days} = 12 \text{ units} \]

3. **Determine the Time Taken by B**:
- Now that we know the total work is 12 units and B's efficiency is 1 unit of work per day, we can find out how many days B will take to complete the same work:
\[ \text{Time taken by B} = \frac{\text{Total Work}}{\text{Efficiency of B}} = \frac{12 \text{ units}}{1 \text{ unit/day}} = 12 \text{ days} \]

### Final Answer:
B takes **12 days** to complete the work.

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