AQA D1 2015 June — Question 5

Exam BoardAQA
ModuleD1 (Decision Mathematics 1)
Year2015
SessionJune
TopicRoute Inspection

5 The network shows the paths mown through a wildflower meadow so that visitors can use these paths to enjoy the flowers. The lengths of the paths are shown in metres.
\includegraphics[max width=\textwidth, alt={}, center]{f5890e58-38c3-413c-8762-6f80ce6dcec7-10_1097_1603_413_214} The total length of all the paths is 1400 m .
The mower is kept in a shed at \(A\). The groundskeeper must mow all the paths and return the mower to its shed.
  1. Find the length of an optimal Chinese postman route starting and finishing at \(A\).
  2. State the number of times that the mower, following the optimal route, will pass through:
    1. \(C\);
    2. \(D\).