An old clock started to fall behind by one minute each day. it was too fragile to fix, but too beloved to stop. how slow was the clock after one year of this?

1 year = 365 days.

It  falls behind 1 minute per day:

365 days x 1 minute per day = 365 total minutes

1 hour = 60 minutes:

365 minutes / 60 minutes per hour = 6.083 hours = 6 hours and 5 minutes.