#1
Could you guys explain to me how those topics apply to music theory. Also, is 3/4 time quicker than 4/4? Thanks
#2
well, quickness depends on beats per minute. You will get through more measures faster with 3/4 than 4/4, but it's not necessarily "quicker."

3/4 time means a quarter note equals one beat, and there are 3 beats per measure, so measures and subdivisions thereof are done on a 3 count. Also, a whole note wouldn't mean just play the note for a duration of the measure. It would mean play for the duration of the measure plus the first beat of the next measure. A dotted half note would mean play for the duration of the measure.

4/4 time means a quarter note equals one beat, and there are 4 beats per measure.
Hi, I'm Peter
#3
A time signature isn't necessarily faster than another time signature. The speed usually depends on the beats per minute of the piece.

Sometimes, for neatness purposes, a piece is written in a different time signatures so you won't have to use ties and dotted notes in every measure--which would look messy.

A piece can be written in any time signature, but it won't sound exactly the same because certain beats are accented in certain time signatures.