My multiclassed Echo Knight fighter/barbarian has a speed of 50 feet (base 30 ft, barbarian's Fast Movement +10 ft, Mobile feat +10 feet) – and as a bonus from going into a rage (barbarian's Instinctive Pounce +half your speed), I can boost that up to 75 feet total (on one turn).
Assuming I have the echo out, does it still only have 30 feet of movement? Or does it match my speed?
If I am wearing Boots of Speed (which double my walking speed), does it match? Or does the echo still only have 30 feet of movement?