An inlet pipe fills 1/8 part of a tank in 1 h. How much time will the pipe take to fill the empty tank?

Options

A. 4h
B. 2h
C. 6h
D. 8h

Answer

To solve the problem step by step, we will analyze the information given and apply the necessary calculations.

### Step-by-Step Solution:

1. **Understand the Rate of Filling**:
The inlet pipe fills \( \frac{1}{8} \) part of the tank in 1 hour. This means that in 1 hour, the pipe can fill \( \frac{1}{8} \) of the tank.

2. **Determine the Total Time to Fill the Tank**:
To find out how long it will take to fill the entire tank, we can use the rate of filling. Since the pipe fills \( \frac{1}{8} \) of the tank in 1 hour, we can find the total time to fill the tank by considering how many \( \frac{1}{8} \) parts are in a whole tank.

\[ \text{Total time} = \text{Time to fill } \frac{1}{8} \text{ of the tank} \times \text{Number of } \frac{1}{8} \text{ parts in the tank} \]

Since there are 8 parts of \( \frac{1}{8} \) in a whole tank, we can calculate the total time:

\[ \text{Total time} = 1 \text{ hour} \times 8 = 8 \text{ hours} \]

3. **Conclusion**:
Therefore, the inlet pipe will take 8 hours to fill the entire tank.

### Final Answer:
The pipe will take **8 hours** to fill the empty tank.

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