Tram leaves piccadilly to eccles every 9 minutes and to didsbury every 12 minutes. a tram to eccles and a tram to didsbury both leave piccadilly at 9am. at what time will a tram to eccles and a train to didsbury next leave picadilly at the same time?

See, the lowest common multiple of 9 and 12 is 36.
So the trams will leave together 36 minutes after they have left together the first time.
So it will be 36 minutes after 9 am.
So the time is 9:36 am. 
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