In a certain factory a buzzer and bell both sound together at 9 a.m. every day, when the factory opens. The buzzer buzzes every 1 3/5 hours after that, and the bell gongs every 54 minutes. When they both sound together again the factory closes for the night, and the buzzer and bell stop their noise making until until 9 a.m. the next day. How many minutes before midnight does the factory close?
(Please, please, PLEASE answer)
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1 3/5 hr = 96 min
LCM(54,96) = 2^5 * 3^3 = 864 min = 14:24
So the factory closes at 23:24, or 36 min before midnight
LCM(54,96) = 2^5 * 3^3 = 864 min = 14:24
So the factory closes at 23:24, or 36 min before midnight
1 answer