Edexcel D1 2010 June — Question 6

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2010
SessionJune
TopicShortest Path

6. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{50925a06-9a9b-4e50-869a-2dce6680615c-07_623_1221_230_422} \captionsetup{labelformat=empty} \caption{Figure 5}
\end{figure} Figure 5 shows a network of cycle tracks within a national park. The number on each arc represents the time taken, in minutes, to cycle along the corresponding track.
  1. Use Dijkstra's algorithm to find the quickest route from S to T . State your quickest route and the time it takes.
    (6)
  2. Explain how you determined your quickest route from your labelled diagram.
    (2)
  3. Write down the quickest route from E to T.
    (1)