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Radio waves travel at essentially the speed of light in space, and that is a known value. So if you know the exact distance between Earth and Pluto, you can divide the distance by the speed to see how long a radio signal from Earth will take to reach there. Of course, during the year the time will vary, because the distance will vary.

Average distance of Pluto from the Sun: 5.874 billion kilometers

Average distance of Earth from the Sun: 149.6 million kilometers

Distance from Earth to Pluto ~ 5.724 billion kilometers

Speed of radio signal (light): 299792.456 kilometers per second

Dividing: 5.724 x 109 / 2.998 x 105 = 1.91 x 104 seconds = 5.3 hours

(and of course, to send it and receive a reply would take twice that time)

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Absolute closest distance (4.285 billion km) -- 4.0 hours

Absolute farthest distance (7.463 billion km) -- 6.9 hours

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Q: How do you work out how long radio waves take to get from Earth to Pluto?
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