Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Find distance between B and market: |B-M|=|M-B|
Distance between A and B: [tex]|A-B| = 2[/tex] , call this equation (1)
Distance between A and market [tex]|A-M| = \frac{1}{3} |A-B|=\frac{2}{3}[/tex], call this equation (2)
Solve (1) - (2)
[tex]|A-B-A+M| = 2-\frac{2}{3} \\|M-B|=|B-M|=\frac{4}{3}[/tex]
