@Jewess - you need to check how much time is left on the clock for the next KP to appear after you place. It could be that in Aryndell (sp) there is only a couple of minutes before the next KP is awarded and in the other it may be close to the full hour.
For example:
KP cleared at 10:10 pm
City one - next KP is awarded at 10:15 pm
City Two - Next KP is awarded at 11:00 pm
You get up the next morning at - 7:30 am - that's 9 hours and 20 minutes from when the KP was cleared. So you have:
City One: 10 KP (and the timer should be stopped)
[10:15 / 11:15 / 12:15 / 01:15 / 02:15 / 03:15 / 04:15 / 05:15 / 06:15 / 07:15]
City Two: 9 KP (and the timer should show time remaining until next KP is awarded)
[11:00 / 12:00 / 01:00 / 02:00 / 03:00 / 04:00 / 05:00 / 06:00 / 07:00]