Question

the speed of light is approximately 3 x 10 to the 8th power meters per second, while the speed of sound is approximately 3.4 meters per second. How many times faster is the speed of light than the speed of sound?

Answer 1

The speed of light is 8.8x10⁵ times faster than the speed of sound.

Explanation:

We can find how many times faster (R) is the speed of light than the speed of sound as follows:

`R = (c)/(v_(s))`

Where:

c: is the speed of light = 3x10⁸ m/s

`v_(s)`: is the speed of sound = 340 m/s (the value given in the statement, 3.4 m/s, is wrong)

`R = (3 \cdot 10^(8) m/s)/(340 m/s) = 8.8 \cdot 10^(5)`

Hence, the speed of light is 8.8x10⁵ times faster than the speed of sound.

I hope it helps you!