Dave the 140 persons per minute is for the stated 2m wide exits out from the garden, this is derived from ADB and is the flow rate calculation used as the benchmark in both ADB and BS9999 of allowing 5mm per person for exits wider than 1000mm?
Working it through ,the ADB states that for exits wider than 1000mm allow 5mm/person. This figure assumes astandard building with a 2.5minute exit time . 400 persons @ 5mm per person requires 2000mm wide exits and this equates to a flow rate of 80 persons per minute per metre of exit width. I have quoted 160 persons per minute as the exit is 2000mm wide
. I am assuming that we are only considering that part of the exit route that passes through the garden is under consideration, that only one exit is being considered and that other exits from the building are not in question. I also assume - taking your point well made that most people are in the building and the garden simply forms part of the exit route for the majority of people.
So if the 2000 mm wide exit has a capacity of 400 persons over a timescale of 2.5 minutes this equates to a flow rate of 160 persons per minute and if the time is extended to 3 minutes 400 x 3/2.5= 480 persons. The flow rate is unchanged - only the time allowed has been increased and I think without seeing the place that probably 3 minutes from an outside location is probably unreasonably stringent taking into account most large sports venues and outdoor events where 7.5 - 15 minutes are typical.