The secretary arranged a convenient time and place for the applicants to have an interview.
As for the sentence, I think in the phrase "convenient time", the word "convenient" means "allowing you to do something easily or without trouble"(http://www.learnersdictionary.com/definition/convenient) and in the phrase "convenient place", the word "convenient" means "located in a place that is nearby and easy to get to"(http://www.learnersdictionary.com/definition/convenient).
Am I right? Or does "convenient" also mean "allowing you to do something easily or without trouble" in the phrase "convenient place"?