A tap drips at a rate of one drop/sec. 600 drops make 100 ml. The number of liters wasted in 400 days is :

Options

A. 5760
B. 57600
C. 576000
D. 5760000

Answer

To solve the problem of how many liters of water are wasted from a dripping tap over 400 days, we can break it down into several steps:

### Step 1: Calculate the total number of seconds in 400 days.
1. **Convert days to seconds**:
- There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute.
- Therefore, the total number of seconds in 400 days is calculated as:
\[ 400 \text{ days} \times 24 \text{ hours/day} \times 60 \text{ minutes/hour} \times 60 \text{ seconds/minute} \]

### Step 2: Calculate the total number of drops.
2. **Since the tap drips at a rate of 1 drop per second**, the total number of drops in 400 days is equal to the total number of seconds calculated in Step 1.

### Step 3: Calculate the volume of water wasted in milliliters.
3. **Determine how much water is wasted per drop**:
- We know that 600 drops make 100 ml. Therefore, the volume of water wasted per drop is:
\[ \text{Volume per drop} = \frac{100 \text{ ml}}{600 \text{ drops}} = \frac{1}{6} \text{ ml/drop} \]
4. **Calculate the total volume wasted**:
- Multiply the total number of drops (from Step 2) by the volume per drop (from Step 3):
\[ \text{Total volume wasted (ml)} = \text{Total drops} \times \frac{1}{6} \text{ ml/drop} \]

### Step 4: Convert milliliters to liters.
5. **Convert the total volume from milliliters to liters**:
- Since 1 liter = 1000 ml, we can convert the total volume wasted in milliliters to liters by dividing by 1000:
\[ \text{Total volume wasted (liters)} = \frac{\text{Total volume wasted (ml)}}{1000} \]

### Step 5: Calculate the final answer.
6. **Perform the calculations**:
- First, calculate the total number of seconds in 400 days:
\[ 400 \times 24 \times 60 \times 60 = 34,560,000 \text{ seconds} \]
- This means there are 34,560,000 drops in 400 days.
- Now calculate the total volume wasted in milliliters:
\[ \text{Total volume wasted (ml)} = 34,560,000 \times \frac{1}{6} = 5,760,000 \text{ ml} \]
- Finally, convert this to liters:
\[ \text{Total volume wasted (liters)} = \frac{5,760,000}{1000} = 5760 \text{ liters} \]

### Final Answer:
The total volume of water wasted in 400 days is **5760 liters**.

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