Timing Troubles

Algebra Level 3

The electric clock in my hallway is usually correct, but due to a power cut, turned off for an amount of time, before resuming from the time the power went off, therefore operating at a delay. I left my house at 8am (according to the clock) and arrived at the station at what actually was 9:30am. After a day at work, I arrive back at the station, with the clock correctly showing 7:30pm. I return home, only walking at 2/3 of the speed I was this morning, to see a clock that reads 7pm. Assuming there hasn't been another power cut during the day, how long did the power cut last night last? (in minutes)

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