The speed of light is 3.00 times 10^8 m/s. How long does it take for light to travel from Earth to the Moon?

It depends, but on average, the moon is 384,400,000 meters away (3.84*10^8m).

That would mean that it would take around 1.3 seconds (1.28 to be more precise) for light to travel that distance (3.84*10^8m / 3* 10^8 m/s)

Since D=vt

t=D/v

D=3.8x10^8

t=3.8/3~1.25 sec.

You can look up a more accurate value for the distance to the moon if you need it.

Round trip propagation

Earth center to moon center: 384.4 * 10^6 meters

http://nssdc.gsfc.nasa.gov/planetary/factsheet/moo...

Moon center to surface: 1.737 * 10^6 meters

Earth center to surface: 6.371 * 10^6 meters

One-way distance: (384.4 - 1.737 - 6.371) * 10^6 meters = 376.292 * 10^6

One-way duration: 376,292,000 / 299,792,458 = 1.255 seconds

Two-way duration: 1.255 * 2 = 2.51 seconds

Quality check:

http://en.wikipedia.org/wiki/Lunar_Laser_Ranging_e...

... "about 2.5 seconds" ...

4.16 seconds