A tap drips at a rate of one drop/sec. 600 drops make 100 ml. The number of litres wasted in 300 days is

Options

A. 4320000
B. 432000
C. 43200
D. 4320

Answer

To solve the problem step by step, we need to calculate the total amount of water wasted by a dripping tap over a period of 300 days.

### Step 1: Calculate the number of seconds in 300 days
1. **Calculate the number of seconds in one day:**
- 1 minute = 60 seconds
- 1 hour = 60 minutes
- 1 day = 24 hours

Therefore, the total number of seconds in one day is:
\[ \text{Seconds in one day} = 60 \text{ seconds/minute} \times 60 \text{ minutes/hour} \times 24 \text{ hours/day} = 86400 \text{ seconds} \]

2. **Calculate the total number of seconds in 300 days:**
\[ \text{Total seconds in 300 days} = 86400 \text{ seconds/day} \times 300 \text{ days} = 25920000 \text{ seconds} \]

### Step 2: Calculate the total number of drops in 300 days
Since the tap drips at a rate of one drop per second, the total number of drops wasted in 300 days is equal to the total number of seconds:
\[ \text{Total drops} = 25920000 \text{ drops} \]

### Step 3: Convert drops to milliliters
Given that 600 drops make 100 ml, we can find out how many milliliters correspond to 25920000 drops:
1. **Calculate the number of milliliters per drop:**
\[ \text{Milliliters per drop} = \frac{100 \text{ ml}}{600 \text{ drops}} = \frac{1}{6} \text{ ml/drop} \]

2. **Calculate the total milliliters wasted:**
\[ \text{Total milliliters} = 25920000 \text{ drops} \times \frac{1}{6} \text{ ml/drop} = 4320000 \text{ ml} \]

### Step 4: Convert milliliters to liters
To convert milliliters to liters, we divide by 1000 (since 1 liter = 1000 ml):
\[ \text{Total liters} = \frac{4320000 \text{ ml}}{1000} = 4320 \text{ liters} \]

### Final Answer
The total number of liters wasted in 300 days is **4320 liters**.

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