A moving ship sent a sound wave into the water through a SONAR device. If the speed of sound in water
is approximately 1480 "m/s" and the sound wave returned to the ship in 10 s, what is the depth of the water body ?

Options

A. 148 m
B. 740 m
C. 7400 m
D. 14800 m

Answer

To solve the problem of finding the depth of the water body using the information provided about the sound wave sent by the SONAR device, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**:
- A ship sends a sound wave into the water, and the sound wave travels to the ocean bed and back to the ship.
- The speed of sound in water is given as 1480 m/s.
- The total time taken for the sound wave to travel to the ocean bed and return is 10 seconds.

2. **Identify the Total Distance**:
- Let the depth of the water body be \( D \).
- The sound wave travels down to the ocean bed and then back up to the ship. Therefore, the total distance traveled by the sound wave is \( 2D \).

3. **Use the Formula for Distance**:
- The formula for distance is given by:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
- In this case, the total distance traveled by the sound wave is \( 2D \), the speed is 1480 m/s, and the time is 10 seconds.

4. **Set Up the Equation**:
- We can set up the equation as follows:
\[ 2D = \text{Speed} \times \text{Time} \]
\[ 2D = 1480 \, \text{m/s} \times 10 \, \text{s} \]

5. **Calculate the Total Distance**:
- Now calculate the right side of the equation:
\[ 2D = 1480 \times 10 = 14800 \, \text{m} \]

6. **Solve for Depth \( D \)**:
- To find the depth \( D \), divide both sides of the equation by 2:
\[ D = \frac{14800}{2} = 7400 \, \text{m} \]

7. **Final Answer**:
- The depth of the water body is \( 7400 \, \text{m} \).

### Summary:
The depth of the water body is **7400 meters**.

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