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TSA 2021 · Question 43 · Optimisation

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Jun lives in Applecross and Aki lives in Damsonville. Both live a 10-minute walk from their local train stations, which both lie on the Applecross–Figtown line. Trains on this line run throughout the day to the following timetable: [image of timetable] Jun leaves his house at 10:00 to go to visit Aki at her house. He must be back home by 16:00 and will spend at least 1 hour at Aki's house.

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What is the difference between the maximum and minimum time that Jun can spend at Aki's house?