Question

A radio announcer's voice is transmitted via radio waves a distance of 998.25 km. How much time, in microseconds, will it take to transmit the wave over this distance?

Answer 1

A radio wave travels at the speed of light, which is equal to approximately 300,000 km/s.

So, to travel a distance of 998.25 km, the time needed is:

`\begin{gathered} distance=speed\cdot time\\ \\ 998.25=300000\cdot time\\ \\ time=(998.25)/(300000)\\ \\ time=0.0033275\text{ seconds}\\ \\ time=3327.5\text{ microseconds} \end{gathered}`

Therefore the time required is approximately 3327.5 microseconds.