Question 182753: At Yellow Stone National Park the average time between "Old Faithful's" eruptions is 94 min, Castle Geysers intervals are 12 hours, and Cliff Geyser erupts every 35 min. If all three erupt at the same time how many days will it be until they all erupt at the same time again?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At Yellow Stone National Park the average time between "Old Faithful's" eruptions is 94 min, Castle Geysers intervals are 12 hours, and Cliff Geyser erupts every 35 min. If all three erupt at the same time how many days will it be until they all erupt at the same time again?
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Find the least common multiple of 94 min ,12*60 = 720 min , 15 min
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94 = 2*47
720 = 2^4*3*5
15 = 3*5
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The lcm is 2^4*3*5*47 = 11280 min = 11280/60 = 188 hours
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Cheers,
Stan H.
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