The biggest problem people encounter when they try to add time values is incorrect formatting of the results cell.In our demonstration, both A1 and B1 are automatically formatted as time. A simple sum formula works fine at this point to provide a total of 4 hours.
In the following demonstration, the resulting cell is formatted to properly add the hours. Note the square brackets around the hour format. If desired, just delete the last 3 characters in the Type box so you don't see the seconds values.