Tram lines

Trams of five lines are driven at intervals of 5,8,10,12, and 15 minutes. At 12 o'clock come out of the station at the same time. About how many hours again all meet? How many times has each tram passed for this stop?

Correct answer:

t =  2 h
a =  24
b =  15
c =  12
d =  10
e =  8

Step-by-step explanation:

5 ...  prime number 8=23 10=25 12=223 15=35 LCM(5,8,10,12,15)=2335=120  m=LCM(5,8,10,12,15)=120 t=m/60=120/60=2 h
a=m/5=120/5=24
b=m/8=120/8=15
c=m/10=120/10=12
d=m/12=120/12=10
e=m/15=120/15=8



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