Charlie’s factory makes crème eggs and caramel eggs. The crème eggs are produced by a machine at the rate of 30 per minute, while the caramel eggs are produced by a different machine at the rate of 40 per minute. On a day when these two machines were in operation for a combined time of 18 hours, 36 000 eggs were produced in total. For how many hours was the crème egg machine in use?
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Junior Mathematical Olympiad 2005 (2005)
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