The port

Four ships Berthed in the port. Together sail from a port. The first ship will return to port every two weeks, the second after four weeks, the third after eight weeks, and the fourth after 12 weeks. After how many weeks do all the boats meet at the port? How many times has each ship appeared in the port in the meantime?

Correct answer:

x =  24
a =  12
b =  6
c =  3
d =  2

Step-by-step explanation:

t1=2 t2=4 t3=8 t4=12  2 ...  prime number 4=22 8=23 12=223 LCM(2,4,8,12)=233=24  x=LCM(t1,t2,t3,t4)=LCM(2,4,8,12)=24
a=x/t1=24/2=12
b=x/t2=24/4=6
c=x/t3=24/8=3
d=x/t4=24/12=2



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