question_answer 16)

                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?

Answer:

                Suppose that they take \[x\] days to complete the job. We have the following table.  

Number of person	3	4
Number of days	4	\[x\]

More the number of persons, lesser will the number of days required to complete the job. So, this is a case of inverse proportion, Hence, \[3\times 4=4\times x\] \[\Rightarrow \]               \[x=\frac{3\times 4}{4}\] \[\Rightarrow \]               \[x=3\] Hence, they would take 3 days to complete the job.