1. Speed of Sound:

* The speed of sound in air at 20°C is approximately 343 meters per second (m/s).

2. Speed of Light:

* The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s). For our purposes, we can round this to 3 x 10⁸ m/s.

3. Time for Sound to Travel 1 cm:

* Convert 1 cm to meters: 1 cm = 0.01 m

* Time = Distance / Speed

* Time = 0.01 m / 343 m/s ≈ 2.9 x 10⁻⁵ seconds

4. Distance Light Travels in That Time:

* Distance = Speed x Time

* Distance = (3 x 10⁸ m/s) x (2.9 x 10⁻⁵ s) ≈ 8700 meters

Therefore, light travels approximately 8700 meters (or 8.7 kilometers) in the time it takes sound to travel 1 centimeter in air at 20°C.