• # 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.

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