Mrs. Benette was a school teacher who noticed that she took the same time to go to school in the morning as she took on her return journey from school back home, in the evening. One day she happened to discover something.
When she left home, the hour hand and the minute hand were cast exactly opposite each other and on reaching school she found them to be together.
Similarly, when she quit school in the evening, the hour hand and the minute hand were together and the moment she arrived home, they were exactly opposite each other.
How much time did Mrs. Benette spend traveling? Give the minimal possible answer.
Answer on Monday.