The second part of your question actually refers to the velocity of the wave. So if a wave took 4 seconds to travel 1 m, its velocity would be 1/4=0.25m/s. But the time period of 4 s does not give any information about the velocity of the wave (unless you know the wavelength of the wave in which case velocity=wavelength/time period of the wave)
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New Post - Reply To: When we say “the time period of a wave is 4 s” what does that mean?