An airplane is flying due south at 500 miles per hour at 35,000 feet altitude, straight and horizontally. A second airplane is initially 40 miles due east of the first plane, also at 35,000 feet altitude, flying straight and horizontally at 550 miles per hour. Determine the compass angle at which the second plane would be on a collision course with the first plane. How long will it take for the second plane to catch the first?