A time signature of 2-4 means there are 2 quarter beats in each measure. A time signature of 2-2 means there are 2 half beats in each measure.
Is 2/4 time signature fast or slow?
When a composer scores their music, they choose the time signature that they believe conveys the feeling most clearly to the musicians, while being easy to read. 2/4 with 4 quavers to the bar at a slow tempo. 4/4 with 4 crotchets to the bar at double the tempo.