20 At $$ 09: 00 $$, a leaky bucket is filled to the top with water Every minute, 20 ml of water drips out of the bucket. At $$ 12: 00 $$, the bucket is $$ \frac{1}{3} $$ full. What is the capacity of the bucket in litres?

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To determine the capacity of the bucket, let's break down the problem step by step.

1. **Time Duration:**
   - The bucket starts leaking at 09:00 and is observed at 12:00.
   - Total time elapsed = 3 hours = 180 minutes.

2. **Total Water Leaked:**
   - The bucket leaks 20 ml every minute.
   - Total leaked water = 20 ml/min × 180 min = 3600 ml.

3. **Remaining Water at 12:00:**
   - At 12:00, the bucket is $$ \frac{1}{3} $$ full.
   - Let the total capacity of the bucket be $$ C $$ ml.
   - Therefore, the remaining water = $$ \frac{C}{3} $$.

4. **Setting Up the Equation:**
   - Initial full capacity minus the leaked water equals the remaining water:
     $$
     C - 3600 = \frac{C}{3}
     $$
   
5. **Solving for $$ C $$:**
   - Multiply both sides by 3 to eliminate the fraction:
     $$
     3C - 10800 = C
     $$
   - Subtract $$ C $$ from both sides:
     $$
     2C = 10800
     $$
   - Divide by 2:
     $$
     C = 5400 \text{ ml}
     $$

6. **Converting to Litres:**
   - $$ 5400 \text{ ml} = 5.4 \text{ litres} $$

**Answer:** The bucket has a capacity of 5.4 litres.
The bucket can hold 5.4 litres of water.

20 At , a leaky bucket is filled to the top with water
Every minute, 20 ml of water drips out of the bucket.
At , the bucket is full.
What is the capacity of the bucket in litres?

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20 At , a leaky bucket is filled to the top with water Every minute, 20 ml of water drips out of the bucket. At , the bucket is full. What is the capacity of the bucket in litres?