(Solution) - It has been found that galaxies are moving away from the earth -(2025 Original AI-Free Solution)

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It has been found that galaxies are moving away from the earth at a speed that is proportional to their distance from the earth. This discovery is known as Hubble's law. The speed of a galaxy at distance from the earth is given by v = Hr, where H is the Hubble constant, equal to 1.58 × 10?18 s?1. What is the speed of a galaxy?
(a) 5 × 1022 m from earth and
(b) 2 × 1025 m from earth?
(c) If each of these galaxies has traveled with constant speed, how long ago were they both located at the same place as the earth?