# 6.A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?

Given that the 3 persons could rewire the house in 4 days and let x time is taken by 4 persons if used instead of three

Clearly we can see that more is the number of persons, less is the number of days required.

So, it is a case of inverse proportion.

∴ $$4 \times 3 = x \times 4$$

$$\Rightarrow x= \frac { 4\times 3 }{ 3 } = 3$$

Hence, the job will be completed in 3 days.