Let's assume time taken by plane on one way distance as 't'
The total flying time in both directions was 10.5 hr
so, time taken in other direction =10.5-t
now, we are given
A plane averaged 500 mph on a trip going east
so, total distance of one way is
[tex]=500t[/tex]
total distance of other way is
[tex]=200(10.5-t)[/tex]
now, we can that distance is same from both sides
so, we get
[tex]500t=200(10.5-t)[/tex]
now, we can solve for t
[tex]500t=2100-200t[/tex]
[tex]700t=2100[/tex]
[tex]t=3[/tex]
now, we can find one way distance
[tex]=500\times 3[/tex]
[tex]=1500[/tex]miles..............Answer
