Sustain with food prepared in hours (7)

I believe the answer is:

nourish

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'sustain' is the definition.
(I know that sustain can be written as nourish)

'prepared in hours' is the wordplay.
'prepared' indicates anagramming the letters.
'in'+'hours'='inhours'
'inhours' is an anagram of 'NOURISH'.

'with food' is the link.
This may not be right. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for nourish that I've seen before include "Provide with materials for life and growth" , "Provide with sustenance for growth" , "[OPPOSITE OF] starve" , "Feed and foster" , "Feed, sustain" .)

I've seen this clue in The Sun.

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