Crossword Genius

Salesman in Florida working at top speed (4,3)

Ross

I believe the answer is:

flat out

I'm a little stuck... Click here to teach me more about this clue!

'at top speed' is the definition.
(working flat out is working fast)

'salesman in florida working' is the wordplay.
I cannot quite see how this works, but
'florida' could be 'fla' (abbreviation) and 'fla' is found in the answer.
The remaining letters 'tout' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for flat out that I've seen before include "At top speed; intense (effort)" , "KO'd" , "At top speed - totally exhausted" , "Lying on floor" , "very quickly?" .)

I've seen this clue in The Times.
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