AQA Further Paper 3 Discrete 2019 June — Question 6

Exam BoardAQA
ModuleFurther Paper 3 Discrete (Further Paper 3 Discrete)
Year2019
SessionJune
TopicRoute Inspection

6 A council wants to monitor how long cars are being parked for in short-stay parking bays in a town centre. They employ a traffic warden to walk along the streets in the town centre and issue fines to drivers who park for longer than the stated time. The network below shows streets in the town centre which have short-stay parking bays. Each node represents a street corner and the weight of each arc represents the length, in metres, of the street. The short-stay parking bays are positioned along only one side of each street.
\includegraphics[max width=\textwidth, alt={}, center]{22f11ce2-8d07-4f51-9326-b578d1e454f9-08_483_1108_733_466} The council assumes that the traffic warden will walk at an average speed of 4.8 kilometres per hour when not issuing fines. 6
  1. To monitor all of the parking bays, the traffic warden needs to walk along every street in the town centre at least once, starting and finishing at the same street corner. Find the shortest possible time, to the nearest minute, it can take the traffic warden to monitor all of the parking bays. Fully justify your answer.
    6
  2. Explain why the actual time for the traffic warden to walk along every street in the town centre at least once may be different to the value found in part (a).