Answer:
The time taken by the signal to reach the earth is 240 s.
Explanation:
As it is known that speed of any particle is defined as the rate of change in distance per unit time. So depending upon how much distance is covered in a given time, the speed of that travelling particle can be determined. In this case, the distance to be covered is given as [tex]7.19*10^{7}[/tex] km . And it is also known that any radio signal travels with the speed of light. So the speed or velocity of the signal is given as [tex]3*10^{8}[/tex] m/s. Thus, [tex]Speed = \frac{Distance}{Time}[/tex]. So, [tex]Time =\frac{Distance}{Speed}[/tex]. Since the distance is given in km, we have to convert it to meter.
Thus,[tex]Time = \frac{7.19*10^{7}*10^{3} }{3*10^{8} }[/tex].
So,[tex]Time = 2.397*10^{7+3-8}=2.397*10^{2}=240 s[/tex].
Thus, nearly 240 s are required by the signal to reach the earth.