Answer:
It will take 12 days for them to jog together
Step-by-step explanation:
Notice that Pedro jogs once every 4 days, so his pattern is: 4 * n
while Logan does it every 6 days with a pattern of 6 * m
we want those patterns to coincide so they jog together, that is:
[tex]4\,n = 6\,m\\\frac{n}{m} =\frac{6}{4}= \frac{3}{2}[/tex]
Therefore, when n=3 and m=2 we will have that their patterns coincide.
That is : for Pedro 4*3=12, and for Logan 6*2=12
Therefore,in 12 days they will jog again together
