Situation 6405

Three lines depart from the bus station at 6-minute, 8-minute, and 12-minute intervals during the morning rush hour. Once in a while, they come out at the same time. How many times between 5:30 and 8:30 does this situation occur if they first go out together at 5:41?

Correct answer:

n =  8

Step-by-step explanation:

6=23 8=23 12=223 LCM(6,8,12)=233=24  i=LCM(6,8,12)=24 a=5 60+41=341 b=8 60+30=510  t=ba=510341=169 min n1=it=24169=72417.0417  n=1+n1=1+7.0417=8

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