3 pipes when opened for 3 hours can fill 3 buckets. How many buckets can 2 pipes open for 2 hours approximately fill?

Options

A. A) 2/3 buckets
B. B) 2 buckets
C. C) 1 bucket
D. D) 4/3 bucket

Answer

To solve the problem, we need to determine how many buckets can be filled by 2 pipes when they are opened for 2 hours, given that 3 pipes can fill 3 buckets in 3 hours.

### Step-by-Step Solution:

1. **Determine the rate of filling for one pipe:**
- If 3 pipes fill 3 buckets in 3 hours, we can first find out how many buckets one pipe can fill in the same time.
- Since 3 pipes fill 3 buckets, it means that 1 pipe fills 1 bucket in 3 hours.

\[ \text{Rate of 1 pipe} = \frac{1 \text{ bucket}}{3 \text{ hours}} = \frac{1}{3} \text{ buckets per hour} \]

2. **Calculate the rate for 2 pipes:**
- If one pipe fills \(\frac{1}{3}\) buckets per hour, then 2 pipes will fill:

\[ \text{Rate of 2 pipes} = 2 \times \frac{1}{3} = \frac{2}{3} \text{ buckets per hour} \]

3. **Determine how many buckets 2 pipes can fill in 2 hours:**
- Now, we need to find out how many buckets 2 pipes can fill in 2 hours:

\[ \text{Buckets filled by 2 pipes in 2 hours} = \text{Rate of 2 pipes} \times \text{Time} \]

\[ = \frac{2}{3} \text{ buckets per hour} \times 2 \text{ hours} = \frac{4}{3} \text{ buckets} \]

4. **Final Answer:**
- Therefore, 2 pipes can fill approximately \(\frac{4}{3}\) buckets in 2 hours.

### Conclusion:
The answer is \(\frac{4}{3}\) buckets.

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