Question

The distance between two schools,A and B is 2 km.A market is situated a third of the distance from A to B.How far is the market from B?

Answer 1

Answer:

$\frac{4}{3}$

Step-by-step explanation:

Find distance between B and market: |B-M|=|M-B|

Distance between A and B: $|A-B| = 2$ , call this equation (1)

Distance between A and market $|A-M| = \frac{1}{3} |A-B|=\frac{2}{3}$, call this equation (2)

Solve (1) - (2)

$|A-B-A+M| = 2-\frac{2}{3} \\|M-B|=|B-M|=\frac{4}{3}$