Hey there,
I've also had this problem, the quickest way I have found is to accept a a load on game loading that picks up and delvs to the same city, this way you only lose a few moments of gameplay and you can move on to your next load. (this is if you don't own a truck yet and you will have to do this every time you load the game) If you own a truck just hit the drive option, this updates the current server time, then look for a job. Also, in settings you can specify you want shorter haul loads so you can find that quick local delivery anytime.