There are two time slots which are discussed during which one can daven Mincha. One is a larger time slot and one is a smaller time slot. The larger time slot starts 6.5 halachic hours (HH) into the day and ends at the end of the day. The smaller time slot begins 9.5 halachic hours (HH) into the day and ends at the end of the day.
Question: What are the times for the long and short periods for Mincha if a day begins at 5:24am and ends at 10:24 pm?
Answer:
Long Mincha
How many minutes in 6.5 HH?
6.5 HH x 90 minutes = 585 minutes
585 / 60 = 9.75 hours
9.75 after 5:24am is 3:09pm
The long Mincha is from 3:09pm to 10:24pm
Short Mincha
How many minutes in 9.5 HH?
9.5 HH x 90 minutes = 855 minutes
855 / 60 = 14.25 hours
14.25 hours after 5:24am is 7:39pm
The short Mincha is from 7:39pm to 10:24pm