Carole,
Thanks for the follow-up question. Virtually all methods for attacking logic games involve reading the scenario and the rules, diagramming them, making inferences, and moving onto the questions. Precisely how you perform each of these steps is the key to optimal performance in this section, and where test prep providers differ in our strategies and techniques. If you're using the Logic Games Bible or our coursebooks, then I suppose you're using the PowerScore method. If not, perhaps you're using somebody else's.
And yes, diagramming can take as long as 3-4 minutes (and sometimes more, if you do Templates, for instance). However, a functional diagram can help you recoup this investment of time later on, so it's almost always a worthy investment. With practice, you'll start recognizing key inferences faster, notice more linkages between the rules, etc., which will ultimately drive your speed. But there is no "magic bullet" for speeding up this process. It's like asking your trainer how to lift heavier weights. With enough training, you will