A person lives at a distance of 1.32 km from a factory. If the speed of sound in air be 330 `ms^(-1)`, how much time will the sound of factory siren takes to reach the worker?

Explanation

To solve the problem of how much time the sound of the factory siren takes to reach the worker, we can use the formula that relates distance, speed, and time. The formula is:

\[ D = V \times T \]

Where:
- \( D \) is the distance,
- \( V \) is the speed,
- \( T \) is the time.

### Step-by-Step Solution:

**Step 1: Identify the given values.**
- Distance from the factory to the worker: \( D = 1.32 \text{ km} \)
- Speed of sound in air: \( V = 330 \text{ m/s} \)

**Step 2: Convert the distance from kilometers to meters.**
- Since \( 1 \text{ km} = 1000 \text{ m} \),
- Convert \( 1.32 \text{ km} \) to meters:
\[ D = 1.32 \text{ km} \times 1000 \text{ m/km} = 1320 \text{ m} \]

**Step 3: Rearrange the formula to solve for time \( T \).**
- From the formula \( D = V \times T \), we can rearrange it to find \( T \):
\[ T = \frac{D}{V} \]

**Step 4: Substitute the known values into the formula.**
- Substitute \( D = 1320 \text{ m} \) and \( V = 330 \text{ m/s} \):
\[ T = \frac{1320 \text{ m}}{330 \text{ m/s}} \]

**Step 5: Calculate the time.**
- Perform the division:
\[ T = 4 \text{ seconds} \]

### Final Answer:
The sound of the factory siren takes **4 seconds** to reach the worker.

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