If 8 women collect 200 kg of tea leaves in 10 hours. How many more (in kg) of tea leaves will 12 .women .collect in 8 hours?

Options

A. 120 kg
B. 40 kg
C. 5 kg
D. 100 kg

Answer

To solve the problem step by step, we will first determine the work done by one woman in one hour and then calculate how much work 12 women can do in 8 hours.

### Step 1: Calculate the total work done by 8 women in 10 hours
The total amount of tea leaves collected by 8 women in 10 hours is 200 kg.

### Step 2: Calculate the work done by one woman in one hour
To find out how much one woman can collect in one hour, we can use the following formula:

\[ \text{Work done by 1 woman in 1 hour} = \frac{\text{Total work}}{\text{Number of women} \times \text{Time in hours}} \]

Substituting the values:

\[ \text{Work done by 1 woman in 1 hour} = \frac{200 \text{ kg}}{8 \text{ women} \times 10 \text{ hours}} = \frac{200}{80} = 2.5 \text{ kg} \]

### Step 3: Calculate the work done by 12 women in 8 hours
Now, we need to find out how much work 12 women can do in 8 hours. We can use the formula:

\[ \text{Total work done by 12 women in 8 hours} = \text{Work done by 1 woman in 1 hour} \times \text{Number of women} \times \text{Time in hours} \]

Substituting the values:

\[ \text{Total work done by 12 women in 8 hours} = 2.5 \text{ kg} \times 12 \text{ women} \times 8 \text{ hours} \]

Calculating this gives:

\[ \text{Total work done by 12 women in 8 hours} = 2.5 \times 12 \times 8 = 240 \text{ kg} \]

### Step 4: Calculate how many more kg of tea leaves will be collected
To find out how many more kg of tea leaves 12 women will collect compared to the original 200 kg collected by 8 women in 10 hours, we subtract:

\[ \text{More kg collected} = \text{Total work done by 12 women} - \text{Total work done by 8 women} \]

Substituting the values:

\[ \text{More kg collected} = 240 \text{ kg} - 200 \text{ kg} = 40 \text{ kg} \]

### Final Answer
Thus, 12 women will collect **40 kg more** of tea leaves in 8 hours.

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