Answer:
The woman is walking at a speed of 0.08 m/s relative to the man on the walkway.
Step-by-step explanation:
Notice that for the observer, the woman is walking at 0.38 m/s, and the man (who stands still in the walkway) has a speed of 0.3 m/s.
those 0.38 m/s reported from a stationary observer are in fact the addition of two velocities: that of the walkway (0.3 m/s), and that of the woman relative to the walkway (our unknown velocity "v"):
0.38 m/s = 0.3 m/s + v
0.38 m/s - 0.3 m/s = v
v = 0.08 m/s