London Assembly member Darren Johnson has obtained data on modelled fire response times before and after the proposed cuts come into force.
The following wards will see first response times worsen by over a minute.
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The operation carried out by Westminster City Council led to the seizure of £8,000 worth of cigarettes.
Armed troops have been stationed around Parliament to free up armed police to patrol the streets in the wake of the Manchester bomb attack.
Chelsea had planned an open top bus tour to show off the Premier League trophy and hope to add the FA Cup in Saturday's final with Arsenal.