Kinematics of motion in a straight line — practice question

Particles $P$ and $Q$ travel along the straight line $AOB$. They both set off from $O$ at the same moment, with $P$ heading towards $A$ and $Q$ heading towards $B$. Initially, $P$ has speed $1.3\,\text{m s}^{-1}$ and its acceleration in the $OA$ direction is $0.1\,\text{m s}^{-2}$. $Q$ has acceleration towards $OB$ equal to $0.016t\,\text{m s}^{-2}$, where $t$ seconds is the time since $P$ and $Q$ began moving from $O$. When $t = 20$, particle $P$ reaches $A$ and particle $Q$ reaches $B$.