To do any figure, like Walk SQQS, the total time has to be equal in both 2/4 and 4/4. So a Q in 4/4 twice longer than a Q in 2/4, so SQQS in 4/4 is twice longer than SQQS in 2/4. The dancers have to run twice faster?
No, because the tempo of the 2/4 version is half the tempo of the 4/4 version. So you dance exactly the same speed.
Tap on your table 4 times, using a steady pulse. As you do this, count "ONE TWO THREE FOUR". Remember to count one word per tap. You have counted 4 beats in 4/4 time.
Now do the same thing... 4 taps on the table, at exactly the same speed as before. But this time, one word per tap, say "ONE AND TWO AND". Remember, the "ands" don't go in between the taps. Each "and" gets its own tap, so you've tapped four times and said four words. Now you've counted 2 beats in 2/4 time, at half the tempo.
Note that you took exactly the same amount of time to count 4 beats in in 4/4 as you did to count 2 beats in 2/4. The difference is, when you counted in 4/4, you were counting at twice the tempo of 2/4. That's because in 4/4, every tap was equal to one beat, whereas when you counted in 2/4, every tap was equal to 1/2 of a beat.
Now whichever version you counted, you would have danced the same QQQQ rhythm. The QQQQ took exactly the same amount of time, whether you said "QQQQ" or "1234" or "1&2&".
QQQQ
1234
1&2&
They all mean the same thing and take the same amount of time to say or dance... I don't know how to make it any clearer than that!
Sincerely,
Jonathan