Question 429525
From the context of the question we have to assume the orbit is circular. First, we find the distance from one orbit to the other, given by {{{abs(A-B)}}} where A and B are the respective distances from the sun. This is equal to {{{abs(2.7*10^7 - 6.5*10^7) = 3.8*10^7}}} miles.


If the motion is linear and constant, then {{{3.8*10^7mi = (1.9*10^3mi/hr)t}}}, where t is the amount of time required. Isolating t, we get {{{t = (3.8*10^7)/(1.9*10^3) = 2*10^4hr}}}.


The diagram looks something like this:

{{{drawing(300,300,-10,10,-10,10,

locate(0,0,Sun),
circle(0,0,2.7),
circle(0,0,6.5),
locate(0,2.8,A),
locate(0,6.6,B)

)
}}}