Question 175
Four cars $A$, $B$, $C$, and $D$ travel at constant speeds on the same road (not necessarily in the same direction). Car $A$ passed $B$ and $C$ at 8am and 9am, respectively, and met $D$ at 10am. Car $D$ met $B$ and $C$ at $12 \mathrm{pm}$ and $2 \mathrm{pm}$, respectively. Determine at what time $B$ passed $C$. (The times given are within a single day.)