A clock gains 4 minutes every hour. One day it is set to the correct time, 9:00 AM. What is the correct time when the clock shows 1:00 PM that afternoon?

First we have to figure out how many hours have passed. Since 1PM also means 1300 hours, we'll subtract 9 from 13. 13-9=4. therefore, 4 hours have passed. if it gains 4 minutes every hour, we'll multiply the amount of hours that have passed by the amount the clock gains every hour. 4x4=16. now we subtract 16 from 1300 because the clock is ahead of the real time, but remember and hour only has 60 minutes! 1300-16=1244. Therefore, the correct time is 12:44PM.