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BMAT 2014 · Question 35 · Logic

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The diagram below represents all the ferry routes between the islands in the Kuusi group.Each ferry runs a shuttle service between two islands. The journeys between the main central island (Nolla) and each of the outer islands take 30 minutes in either direction and all journeys between two of the outer islands take 45 minutes. All journeys on each route and in both directions start at 6 am and no journey starts at or after 9 pm: Start times for routes between Nolla and the outer islands: 6:00 6:45 7:30 8:15 9:00 etc. repeating every 3 hours Start times for routes between the outer islands: 6:00 7:00 8:00 9:00 etc. It takes between 5 and 10 minutes to walk between ferry docking points on all the islands.

Question diagram

Mikko commutes from Yksi to Nelja each morning starting on the 7:30 am ferry. One day when he arrives at the Yksi terminal, he finds that the Nolla – Nelja ferry is not running. How much later than normal will he arrive at work?