Green’s Dictionary of Slang

burn (up) v.

1. (also burn it out) to ride or drive fast on a motorcycle, car, or other machine.

[US]H.C. Witwer Fighting Blood 11: He had an elegant racing car, and we burn up the State road to Trenton.
[US]‘Paul Cain’ ‘Black’ in Omnibus (2006) 219: I waited till we had burned through the gate and were halfway up the block.
[US]A. Bessie Men in Battle 120: We used to burn up the roads something fierce.
[UK]G. Kersh They Die with Their Boots Clean 184: This gentleman borrows the motor-bike [...] and, so help me God, he burns up the distance between Brighton and London.
[UK]N. Dunn Up the Junction 3: The three of us climb onto the bikes [...] We burn up Tooting Bec and streak round a corner.
[Aus]W. Dick Bunch of Ratbags 169: I put me foot down and burnt off.
[UK]C.E. Palmer Wooing of Beppo Tate 120: And did I ever go! Did I ever burn up that turf!
[US]D. Claerbut Black Jargon in White America 59: burn v. […] 2. to drive an automobile fast.
[NZ]McGill Dict. of Kiwi Sl. 23/2: burn drive a vehicle fast, phr. go for a burn, originally a bikie’s burnup; a burn off to drive so fast you leave the competition behind.
[US]C. Hiaasen Native Tongue 16: I burned up the interstate getting down here.
[UK]G. Burn Happy Like Murderers 113: She would run for it and come to him and he would burn it out for her.
[UK]Indep. The Information 9–15 Oct. 66: Players are given the opportunity to burn up the slopes on Snowmobiles.
[NZ]McGill Reed Dict. of N.Z. Sl. [as cit. 1988].

2. (also burn off, burn one’s soles) to leave (fast).

[US]C. Odets Golden Boy II iii: It has to end [...] I oughta burn. I’m leaving you...
[US]Goldin et al. DAUL 37/2: Burn up the pavement. To take sudden flight.
[US]D. Claerbut Black Jargon in White America 59: burn v. […] 3. to run fast.
[US](con. 1970) J.M. Del Vecchio 13th Valley (1983) An ol’ cat leaps off in front of ol’ dog and burns down the block.
[UK](con. 1979–80) A. Wheatle Brixton Rock (2004) 101: He [...] burned his soles away from the scene of crime, with his accomplice in his slipstream.
[Aus]N. Cummins Adventures of the Honey Badger [ebook] We burned off to our selected huts to drop off our gear.

3. to outrun by fast driving.

[US]G. Scott-Heron Vulture (1996) 31: I heard about one narrow escape he made from the Man because Junior Jones burned up the patrol car.