1. The problem states that Freddie travels from home to Matthew's house, stays there briefly, then returns home.
2. From the graph description, Freddie starts at 0 km at 13:00, reaches 45 km at 14:00, stays at 45 km until 14:30, then returns to 0 km at 15:00.
3. The time taken to get back home is the duration from when Freddie leaves Matthew's house (at 14:30) until he arrives home (at 15:00).
4. Calculate the return time: $$15:00 - 14:30 = 30 \text{ minutes}$$
5. Therefore, Freddie takes 30 minutes to get back home from Matthew's house.
Freddie Return Time
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