Connor started his homework at 6:35 p.m. and worked on it until 8:20 p.m. He spent one-fourth of his time on math. How much time did he spend on math homework?
Connor spent 1 hour and 45 minutes on his homework because 8 x 60 + 20 = <<8*60+20=500>>500
He spent 250 minutes on math because 500 x (1/4) = <<500*(1/4)=125>>125. Answer: \boxed{125}.
To determine how much time Connor spent on math homework, we need to calculate one-fourth of the total time he worked on his homework.
Step 1: Calculate the total time spent on homework:
8:20 p.m. - 6:35 p.m. = 1 hour and 45 minutes
Step 2: Convert 1 hour and 45 minutes into minutes:
1 hour = 60 minutes
So, 1 hour and 45 minutes = 60 + 45 = 105 minutes
Step 3: Calculate one-fourth of the total time:
(1/4) * 105 = 26.25
Therefore, Connor spent 26.25 minutes on math homework.