sorry for misunderstanding,
but then your colleagues from ACC are ready for move,because,
turboprop will reach Fl 170 in 6 minutes(minimum),
and then triangle is :jet will be around 30 Nm away from the position at given moment.
at the same time turboprop would pass 18 miles.
it gives us triangle where one side is 33.2 Nm and another side is 18Nm with the angle between sides 30 degrees.
It is not necessary to be Maths PhD to realize that there will be enough miles.
but differences and out of any logic rules are part of this world.
Best regards,