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My kitchen clock is working properly but was showing 10:06, which I know is the wrong time, when I left to walk to my friend’s house for coffee. My friend’s clock, which was correct, was showing 10:21 when I arrived and 10:51 when I left. I walked home at the same speed as when I went, and when I arrived home my clock was showing 11:16. I then adjusted my clock to the correct time.

How many minutes back did I have to move my clock?