a body travels half of its total path in the last second of its free fall from rest.what is the duration of fall?

d(t)-d(t-1)= 1/2 d (t)

d(t-1)=1/2 d(t)
where.
d(t-1)=vi(t-1)+1/2 a (t-1)^2
d(t)=Vi(t)+1/2 a t^2

solve for t