Bus intervals

Four bus lines departed from the terminal together at 5:00 AM. Line A runs at 15-minute intervals, Line B at 6-minute intervals, Line C at 20-minute intervals, and Line D at 8-minute intervals. At what time do all four lines depart from the terminal simultaneously again? How many times between 5:00 AM and 12:00 noon do all four lines depart at the same time?

Result

a = 7:00 hh:mm Wrong answer
n =  3

Step-by-step explanation:

15=35 6=23 20=225 8=23 LCM(15,6,20,8)=2335=120  d=LCM(15,6,20,8)=120 a=5+d/60=5+120/60=7=7:00 hh:mm
m=(12.005.00)/(d/60)=(12.005.00)/(120/60)=27=321=3.5 n=m=3.5=3



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