InterviewSolution
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InterviewSolution
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The information about number of workers and number of days to complete a work is given in the following table. Complete the table.Number of workers3020...10...Days6912...36 |
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Answer» Let, n represent the number of workers and d represent the number of days required to complete a work. Since, number of workers and number of days to complete a work are in inverse poportion. ∴ n ∝ (1/d) ∴ n = k x (1/d) where k is the constant of variation. ∴ n × d = k …(i) i. When n = 30, d = 6 ∴ Substituting n = 30 and d = 6 in (i), we get n × d = k ∴ 30 × 6 = k ∴ k = 180 Substituting k = 180 in (i), we get ∴ n × d = k ∴ n × d = 180 …(ii) This is the equation of variation ii. When d = 12, n = 7 ∴ Substituting d = 12 in (ii), we get n × d = 180 ∴ n × 12 = 180 ∴ n = 180/12 ∴ n = 15 iii. When n = 10, d = ? ∴ Substituting n = 10 in (ii), we get n × d = 180 10 × d = 180 ∴ d = 180/10 ∴ d = 18 iv. When d = 36, n = ? ∴ Substituting d = 36 in (ii), we get n × d = 180 ∴ n × 36 = 180 ∴ n = 180/36 ∴ n = 5
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