Answer :
Wow! 2.95m/s is a mighty fast pace for a backpacker. Must have one of those Star Wars anti-gravity packs. Also, I would be curious as to why she passed her destination and then walked back.
Anyway, it goes like this:
Say the time walking east is 't', and the total time is 'T'.
Then 5340 m + .511 t = 1.43 T
(This assumes that velocity is positive in both directions)
Two unknowns in one equation. But you also know that the time spent walking west is
5340m/ 2.95m/s = 1810 sec.
and the total time T = 1810 +t
Substitute this into the first equation, and you can solve for t = 3092 sec.
Then T = 4902 sec. and distance walked east is .511t = 1580m.
Anyway, it goes like this:
Say the time walking east is 't', and the total time is 'T'.
Then 5340 m + .511 t = 1.43 T
(This assumes that velocity is positive in both directions)
Two unknowns in one equation. But you also know that the time spent walking west is
5340m/ 2.95m/s = 1810 sec.
and the total time T = 1810 +t
Substitute this into the first equation, and you can solve for t = 3092 sec.
Then T = 4902 sec. and distance walked east is .511t = 1580m.
