314 weavers weaves 6594 shawls in `1//6` hours what is the number of shawls weaved per hour by average weaver?

Options

A. A) 42
B. B) 21
C. C) 102
D. D) 126

Answer

To find the number of shawls weaved per hour by an average weaver, we can follow these steps:

### Step 1: Understand the given data
We have:
- Number of weavers = 314
- Total shawls woven = 6594
- Time taken = \( \frac{1}{6} \) hours

### Step 2: Calculate the total shawls woven per hour
Since \( \frac{1}{6} \) hours is the time taken, we need to find out how many shawls are woven in one full hour.

To do this, we can multiply the total number of shawls by the reciprocal of the time in hours:
\[ \text{Shawls per hour} = \text{Total shawls} \times \text{Reciprocal of time} \]
\[ \text{Shawls per hour} = 6594 \times 6 \]

### Step 3: Perform the multiplication
Now, we calculate:
\[ 6594 \times 6 = 39564 \]
So, 39564 shawls are woven in one hour by all weavers combined.

### Step 4: Calculate the average number of shawls woven by one weaver
To find the average number of shawls woven by one weaver in one hour, we divide the total shawls woven per hour by the number of weavers:
\[ \text{Shawls per weaver per hour} = \frac{\text{Shawls per hour}}{\text{Number of weavers}} = \frac{39564}{314} \]

### Step 5: Perform the division
Now, we calculate:
\[ \frac{39564}{314} \approx 126 \]
Thus, the average number of shawls woven by one weaver per hour is approximately 126.

### Final Answer
The average number of shawls weaved per hour by an average weaver is **126**.

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