The port

Four ships Berthed in the port. Together sail from a port. The first ship will return to port every two weeks, second ship after 4 weeks, third after 8 weeks and fourth ship after 12 weeks. After how many weeks all the boats gather at the port? How many times have each of the ships 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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