Right.
1: He saw it in the mirror, and it took 20 minutes to get to school. Therefore, he must have have left when he thought it was 10:00, but it was in fact 12:10. So he left.
2: He arrived at school after 20 minutes, and it was 12:30 by the clock at the back of the classroom, which is two and a half hours later that he thought it was when he left home.
Yes?
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Oh, a functional love life is like icing a cake - you've got to concentrate!