The triangle area of 1 has nothing to do with point P, but only with point Q, with an area of 96, and it loses 8 unit areas per second (16* 1/2).

2 bp=bq or bp=pq or pq=bq in three cases.

bq= 16-2t

Under bp= radical sign (12 2+( 16-2t) 2 when t is less than or equal to 8 or under radical sign (12 2+(2t- 16) 2 when t is greater than 8.

Pq= under the root sign (12 2+T2)

So solve the equation slowly by yourself.