Final answer:
The fastest moving planet in a solar system is the planet nearest the sun, with Mercury being the fastest in our Solar System due to its short orbital period and high average orbital speed of 48 kilometers per second.
Step-by-step explanation:
The fastest moving planet in a solar system is typically the planet nearest the sun. Mercury, being the closest planet to the Sun, holds this title in our Solar System. It follows Kepler's third law, which dictates that orbits closer to the Sun have shorter orbital periods, hence Mercury orbits the Sun every 88 Earth-days with an average orbital speed of 48 kilometers per second. This speed significantly exceeds that of planets farther away from the Sun; for example, Neptune orbits with an average speed of just 5 kilometers per second due to its distant position and longer revolution period of 165 Earth years.