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

`(4)/(3)`

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| = (1)/(3) |A-B|=(2)/(3)`, call this equation (2)

Solve (1) - (2)

`|A-B-A+M| = 2-(2)/(3) \\|M-B|=|B-M|=(4)/(3)`