Question

2 ]The information about the numbers of
workers and the number of days to comples
a work is given in the following table
No. of workers
2 4 6 12
No of days required to complete the work 36 24 d 12 6
respectively

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Answer 1

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 Number of workers 30 20 15 10 5 Days 6 9 12 18 36Read more on Sarthaks.com - https://www.sarthaks.com/854510/information-about-number-workers-number-complete-given-following-table-complete-table