PDQ
amain
at flank speed
at once
by forced marches
cursorily
decisively
directly
double-quick
expeditiously
fast
feverishly
flat-out
forthwith
furiously
hand over fist
hand over hand
hastily
hell for leather
hell-bent
hell-bent for election
helter-skelter
hotfoot
hurriedly
hurry-scurry
immediately
in double time
in double-quick time
in high
in high gear
in no time
in passing
in seven-league boots
instanter
instantly
lickety-cut
lickety-split
on the double
on the instant
on the run
on the spot
pell-mell
post
posthaste
pretty damned quick
promptly
pronto
quick
Ace
Chase
Grace
Mace
Race
ace
base
bass
brace
case
chace
chase
dace
debase
deface
disgrace
displace
efface
embrace
encase
erase
face
grace
heyse
incase
interlace
lace
lambastes
mace
misplace
pace
place
race
rais
replace
retrace
space
trace
vase
worst-case