Answer:
Time, [tex]t=1.07\times 10^{-4}\ s[/tex]
Explanation:
It is given that,
Distance traveled by the signal from a local radio station, d = 20 miles
1 mile = 1609.34 m
Distance, d = 32186.9 m
Speed of the radio signal, [tex]c=3\times 10^8\ m/s[/tex]
Let t is the time taken by the signal from a local radio station to travel 20 miles. The speed is given by :
[tex]v=\dfrac{d}{t}[/tex]
[tex]t=\dfrac{d}{c}[/tex]
[tex]t=\dfrac{32186.9\ m}{3\times 10^8\ m/s}[/tex]
[tex]t=1.07\times 10^{-4}\ s[/tex]
So, the time taken by the signal from a local radio station to travel 20 miles is [tex]1.07\times 10^{-4}\ s[/tex]. Hence, this is the required solution.