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. 24 kg
B. 40 kg
C. 50 kg
D. 100 kg

Answer

To solve the problem, we will follow these steps:

### Step 1: Determine the work done by one woman in one hour.
Given that 8 women collect 200 kg of tea leaves in 10 hours, we can first find out how much one woman collects in one hour.

1. **Total work done by 8 women in 10 hours** = 200 kg
2. **Work done by 8 women in 1 hour** = 200 kg / 10 hours = 20 kg
3. **Work done by 1 woman in 1 hour** = 20 kg / 8 women = 2.5 kg

### Step 2: Calculate the work done by 12 women in 8 hours.
Now that we know how much one woman can collect in one hour, we can calculate how much 12 women will collect in 8 hours.

1. **Work done by 12 women in 1 hour** = 2.5 kg * 12 women = 30 kg
2. **Work done by 12 women in 8 hours** = 30 kg * 8 hours = 240 kg

### Step 3: Determine how many more kg of tea leaves are collected by 12 women compared to 8 women.
Now we need to find out how many more kg of tea leaves 12 women collect compared to what 8 women collected in the same time period.

1. **Tea leaves collected by 8 women in 8 hours** = (200 kg / 10 hours) * 8 hours = 160 kg
2. **Difference in collection** = 240 kg (by 12 women) - 160 kg (by 8 women) = 80 kg

### Final Answer:
Therefore, 12 women will collect **80 kg more** of tea leaves in 8 hours compared to 8 women.

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