Correct answer is the 2 objects are traveling at the same speed.
Neglecting air resistance, an object thrown up has the same speed as the second object thrown down from the top of a building since the initial speed is the same.
The one thrown up is not traveling faster neither is the one thrown down traveling faster. It is of course possible to tell their speed even if the height of the building is not given. Therefore, the two object will have the same speed when they hit the ground but their time of landing might be different.