Points $$P$$ and $$Q$$ are $1800$ metres apart. April and Baye started walking from $P$ to $$Q$$ at the same time. April arrived at point $Q$ first and turned to run towards $P$ at $4$ times of her original speed. She then met Baye $800\text{m}$ from $Q$. When April arrived back at $P$, how many metres was Baye away from $$Q$$? 
Overseas Competition->Knowledge Point->Counting Modules