SOLUTION: Bus A runs every 8 minutes, Bus B runs every 10 minutes, and Bus C runs every 12 minutes. If all three buses leave the station at 8:00 a.m., when is the next time all three buses l

Question 327068: Bus A runs every 8 minutes, Bus B runs every 10 minutes, and Bus C runs every 12 minutes. If all three buses leave the station at 8:00 a.m., when is the next time all three buses leave the station at the same time?
a.9:00 am
b.10:00 am
c.11:00 am
d.12:00 pm
e.1:00 pm

Found 2 solutions by stanbon, galactus:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bus A runs every 8 minutes, Bus B runs every 10 minutes, and Bus C runs every 12 minutes. If all three buses leave the station at 8:00 a.m., when is the next time all three buses leave the station at the same time?
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Find the least common multiple of 8,10,12.
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8 = 2^3
10 = 2*5
12 = 3*2^2
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lcm = 2^3*3*5 = 120
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120 min = 2 hrs.
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Ans: 10:00 am
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Cheers,
Stan H.
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a.9:00 am
b.10:00 am
c.11:00 am
d.12:00 pm
e.1:00 pm

Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
What is the least common multiple of 8,10, and 12?.
It is 120.
So, the buses will be in sync in another 120 minutes or 2 hours later.
At 10 am
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