The position-time$(x-t)$graphs for two children $\mathrm{A}$ and $\mathrm{B}$ returning from their school $\mathrm{O}$ to their homes $\mathrm{P}$ and $\mathrm{Q}$ respectively along a straight path (taken as $x$-axis) are shown in the figure below. Choose the incorrect option.

• A

  $\mathrm{A}$ lives closer to the school than $\mathrm{B}$

   
• B

  $\mathrm{A}$ starts from the school earlier than $\mathrm{B}$
• Correct answer
  C

  $\mathrm{A}$ and $\mathrm{B}$ have equal average velocities from $0$ to $t_0$
• D

  $\mathrm{B}$ overtakes $\mathrm{A}$ on the way

Hence, the correct answer is option: 'C'.