The distance to the emporium is the same as from it to back home.
r, speed walking home
k=2, difference in speed to home versus to emporium
d=2
T=2&2/3, total time going plus returning
Question asks for r.
SPEED TIME DISTANCE
GOING r+2 d/(r+2) 2
RETURNING r d/r 2
TOTAL
Solve for r:
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