Aoife and Barack have both started a delivery job, where they are paid the same amount daily to make a certain number of deliveries.
On the first day, both Aoife and Barack take 240 minutes to make their deliveries.
Aoife plans to reduce the amount of time the deliveries take by 2 minutes per day.
Barack plans to reduce the amount of time the deliveries take by 1% per day.
Assuming both Aoife and Barack are able to follow this plan indefinitely, determine the first day on which Aoife will complete her deliveries faster than Barack.
