Small Transport; Low Wing; 2 Turboprop Eng
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 1
Confusion; Distraction
ATC Issue All Types; Conflict Airborne Conflict; Deviation / Discrepancy - Procedural Published Material / Policy
Air Traffic Control Separated Traffic; Air Traffic Control Issued Advisory / Alert; Flight Crew Returned To Clearance
Aircraft
Aircraft X IFR departure climb on course already coordinated with Center and pointed out to the Arrival Sector to the north.  There was Aircraft Y holding VFR North of Hill Field not talking to Approach.  Aircraft Y's altitudes varied; and one departure expedited his climb on his own through 170 and told me he had the Aircraft Y on TCAS.  Aircraft X was 10 miles in trail and was a slower climber and I noticed that Aircraft Y was turning south toward Aircraft X so I stopped his climb and began pointing out the traffic.  Once Aircraft X had Aircraft Y making an east bound turn at his one o'clock and about 4 miles in sight I decided to climb the Aircraft X because it appeared Aircraft Y was descending. Then Aircraft Y was north bound and began to climb; once Aircraft Y started to make the west to south bound turn I issued traffic again then stopped Aircraft X at his present altitude.  I issued the traffic and asked if Aircraft X would like a turn out to the west not sure if he still had Aircraft Y in sight.  He requested a turn so I issued a left turn to 290; Aircraft X advised me of a RA and I issued the traffic again.  Then the CA went off on the scope and I saw Aircraft Y make a right turn toward Aircraft X so I issued the traffic alert. Aircraft X responded with a second RA.
S56 controller reports of a situation where he has an aircraft that has two RA's with the same aircraft.