|Common symptoms of an upper-respiratory infection, otherwise known as a cold, can include sneezing, runny nose, and coughing. And the chances of your child catching one are pretty good. Young children generally come down with anywhere from eight to ten colds a year. This can lead to doctor visits and missed school days. Although your child will be at their most contagious two to four days after symptoms first appear, they can still spread a cold up to three weeks later.