Ghost was used to brawls. ever since he was young he had been an outsider which got him into more than enough fights to be experienced. After he joined the Defence Force, he found out about martial arts and expelled in them. The military faction knew many illegal fighting stages and over the years Ghost honed his skills. After he retired from field work it was an easy choice for the higher ups to make him teach the trainees close combat skills.
While Snyper threw out a lot of attack, which only lacked strength, which were basically all on target, Ghost held his own. She didn't follow any usual patterns but just attacked him as fast as possible. It seemed she had already found a way to beat the system by doing precisely what she was asked to do. Most people would have tried to show of, or attacked him seriously, with actual strength. Yet, even though Ghost liked the way Snyper tried to win, he didn't yield and responded with equal speed. The nice thing about the exercise is that he didn't need to concentrate on attacking. All he had to do was push her fists out of the way or catch them and throw them back. Unlike Snyper, Ghost did move. Whenever he felt that she punched him too often, he just jumped backwards and reassured defensive stance.
Ghost never intended to win, though. He just wanted to see how long she could keep this up. In a way, she was beating the test because it's original purpose isn't just to see if you can hit somebody but, because people tend to show off, also to find out how deadly that single hit is. Now that that purpose is lost, Ghost changed his objective to seeing how much stamina Snyper has.