A 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 9 am.
At what time will a tram to Eccles and a tram to Didsbury next leave Piccadilly at the same time?
Answer (2)
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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The next tram to Eccles and the tram to Didsbury will leave Piccadilly together at 9:36 am, which is 36 minutes after their initial departure at 9:00 am. This is determined by finding the least common multiple of their departure times of 9 minutes and 12 minutes. The least common multiple is 36 minutes, added to 9:00 am results in 9:36 am.
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