Answer :

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]

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