∵ 14 person complete in 16 days = 1 work
∴ 8 person complete in 12 days = 1 x (8/14) x (12/16) = 3/7
∴ Remaining work = 1 - 3/7 = 4/7
and total number of person = 8 + 8 = 16
∴ 14 person do 1 work in 16 days
∴ 16 person do 4/7 work in 16 x (14/16) x (4/7) = 8 days
