I'm trying to build my shoulder and chest muscle mass so I've been just doing wide pushups. The problem I'm dealing with right now is how I should do these pushups. Should I push up fast, fall down slowly or just do as much pushups as fast as I can? The latter easily doubles my pushups.
so the question is, quality over quantity? or vice versa?
Go with hands approximately doulbe shoulder width apart and slow and controlled down and up movements. Also, raise your feet higher than your shoulders, so you're pushing more weight. You'll build more mass by more closely approximate the weight and movement used on a bench press, where heavier weights between 6-12 reps are going to be more beneficial than sets of 30-40 reps, where muscle mass gain is your objective.