If a pipe fills a tank in 6 h, then what part of the tank will the pipe fill in 1 h?

Options

A. `(1)/(3)`
B. `(1)/(6)`
C. `(1)/(4)`
D. `(1)/(5)`

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the Problem
We know that a pipe fills a tank completely in 6 hours. We need to find out how much of the tank is filled in just 1 hour.

**Hint:** Think about the total time it takes to fill the tank and how that relates to filling it in smaller increments of time.

### Step 2: Determine the Filling Rate
If the pipe fills the entire tank in 6 hours, we can express the filling rate of the pipe. The rate of filling can be calculated as:
- Rate of filling = Total tank capacity / Time taken to fill the tank
- Here, we can consider the total capacity of the tank as 1 (representing the whole tank).

**Hint:** Remember that the filling rate tells you how much of the tank is filled per hour.

### Step 3: Calculate the Part Filled in 1 Hour
Using the filling rate calculated in Step 2:
- Rate of filling = 1 tank / 6 hours = 1/6 of the tank per hour.

**Hint:** This step involves simple division to find out how much of the tank is filled in one hour.

### Step 4: Conclusion
Thus, in 1 hour, the pipe fills 1/6 of the tank.

**Hint:** Make sure to check if this answer makes sense in the context of the problem.

### Final Answer
The part of the tank that the pipe will fill in 1 hour is **1/6**.