8th Class Mathematics Direct and Inverse Proportions

  • 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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