Yous schools talent show will feature 12 solo acts and 2 ensemble acts. The show will last 108 minutes. The 6 solo performers judged best will give a repeat performance at a second 66 minute show, how long does each solo act last
To find out how long each solo act lasts, we need to know the total number of solo acts. From the information given, there will be 12 solo acts and 2 ensemble acts, for a total of 12 + 2 = <<12+2=14>>14 acts.
If the show will last 108 minutes, each solo act will have 108 minutes / 14 acts = <<108/14=7.71>>7.71 minutes.
For the second show, where only the 6 best solo performers will give a repeat performance, the duration is 66 minutes. So, each solo act will have 66 minutes / 6 acts = <<66/6=11>>11 minutes. Answer: \boxed{11}.