does am/pm count?
Like will it "show the correct time" after it loses 12 hours or does it need to lose a full 24 hours?
In one day ( minutes) it loses minutes. So it is running at of the correct speed.
So minutes after noon on the first of October, the clock 'thinks' that minutes have elapsed. The clock will first show the correct time, then, when the difference between these two numbers of minutes , because the clock will then be exactly hours slow. (If it's a hour clock, you'll have to make this hours, or minutes.) So:
We now need to find the date and time, minutes after noon on 1st October.
and 0.8 days = 19.2 hours = 19 hours 12 minutes
So it's 19 hours 12 minutes after noon on 29th October, or 7:12 am on 30th October.
PS Here's a much more obvious way of doing the calculation.
It takes one day for the clock to lose 25 minutes. So in days it loses 720 minutes. Sorry I made it seem a lot harder than it really was!