Name: STP60NFL.jpg Views: 9105 Size: 650.5 KBHere it is. Sorry I didn't mention it is an N FET. Yellow line is 2V/div and is the drain against the earth, purple line is 1V/div and is the gate against the earth. Zero level is where the little purple arrow on the left is (one div of the bottom). There are two oscillograms merged together: left was obtained with the 10k resistor to the gate, right one with 330R to the gate. Both oscillograms are taken on the OFF. The left graph (yellow line) shows that it takes 70 uS to drain the gate charge, when the right one (330R to the gate) only around 10uS.
Long story cut short - even 330R (very high compare to the internal impedance of a TC4424 3A peak 0.6A realistic continuous) is enough to drive the FET at quite a considerable load (the switching time is affected by the load current), if 10uS is acceptable switching time. Just to compare the time to something a 30A relay takes 5mS to switch ON and 2mS to switch OFF.
I think your schematic shows that it is possible to avoid using high current driver and simplify the drive circuit to suit the 24v environment.