Kayla started archery at 12:30 P.M. and spent 1 hour there, so she finished archery at 1:30 P.M.
She then spent 1 hour and 30 minutes sailing, which is the same as 1.5 hours. To find out what time she finished sailing, we can add 1.5 hours to the end of archery at 1:30 P.M.
1:30 P.M. + 1.5 hours = 3:00 P.M.
Therefore, Kayla finished sailing at 3:00 P.M. (in the afternoon).