if the particles are closer to each other, then the vibrations of particles will travel faster & particles in solid are closest to each other among gas, liquid, and solid state of matter ->  vibrations of particles will travel the fastest in solid state of matter  vibrations of particles will travel the fastest in solid state of matter & sound travels through vibrations of particles ->  sound travels fastest through solid  if the particles are farther away from each other, then the vibrations of particles will spread slower & particles in gas are the farthest away from each other among gas, liquid, and solid state of matter ->  vibrations of particles will travel the slowest in gas  vibrations of particles will travel the slowest in gas & sound travels through vibrations of particles ->  sound travels slowest through gas  sound travels fastest through solid & sound travels slowest through gas -> sound travels fastest through solid and slowest through gas