Two train whistles have identical frequencies of 180 Hz. When one train is at rest in the station and the other is moving nearby, a passenger standing on the station platform hears beats with a frequency of 2.00 beats/s when the whistles operate together. What are the two possible speeds and direction the moving train can have? speed of sound is 343 m/s.

Explanation

To solve the problem, we need to find the two possible speeds and directions of the moving train based on the information given about the frequencies and the beats heard by the passenger.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- Frequency of the whistles (f₁) = 180 Hz
- Frequency of beats (f_b) = 2.00 beats/s
- Speed of sound (v) = 343 m/s
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