Jennifer M. answered 08/22/19
AP and College Physics Tutor Specializing in Simplifying Physics
In order to determine the time that the bulb was fired we need to know the time it took for the light from the bulb to travel the 30km distance to the observer.
To do so, we need to know the speed of light. Most often, physics textbooks use the approximation:
speed of light = 3.00 x 108 m/s
Since our distance is in km, it is helpful to convert the speed of light to km/s.
speed of light = 3.00 x 105 km/s (divide 3.00 x 108 by 1000)
Using the formula: v = d/t, solve for t.
t = d/v
plugging in what we know....
t = 30 km / 3.00 x 105 km/s = 0.0001 s
This means that the bulb was fired 0.0001s prior to the observer seeing the flash at 13:00.
FINAL ANSWER
Hope this is helpful!