Answer
80.5 m travelled east
Work Step by Step
Let due west be the negative direction
Average velocity = $\frac{displacement}{time}$ = $\frac{x}{t}$
Time spent hiking west = $\frac{-6440}{-2.68}$ $\approx$ 2.40 $\times$ $10^{3}$ s
Let distance hiked east = $x_{e}$
Time spent hiking east = $\frac{x_{e}}{0.447}$
Displacement = $x_{e}$ - 6440
Time = 2.40 $\times$ $10^{3}$ + $\frac{x_{e}}{0.447}$
Average velocity = displacement/time
-1.34 = ($x_{e}$ - 6440) / (2.40 $\times$ $10^{3}$ + $\frac{x_{e}}{0.447}$)
-3.22 $\times$ $10^{3}$ - 2.998$x_{e}$ = $x_{e}$ - 6440
3.998$x_{e}$ = 3.22$\times$ $10^{3}$
$x_{e}$ $\approx$ 80.5 m
