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If 7 Spiders Make 7 Webs in 7 Days then One Spider will Make One Web in How Many Days?

  • If 7 spiders make 7 webs in 7 days.
  • Days required by one spider to make one web will be figure out in this way.

Explanation

Three given entities here are

  1. Spiders
  2. Web
  3. Days

To determine the relation here, let suppose; Days required by one spider to make one web = y

Case I

Spiders      Days

7                 7

1                 y

  • Seven spiders requires less days.
  • One spider will require more days.

This clearly indicates that there is inverse relation.

Direct/Indirect relation tells how the equation will be written.

1 : 7  ::  7 : y ________ (i)

Case II

Web           Days

7                 7

1                 y

  • 7 (seven) web requires more days.
  • 1 (one) web would require less days.

This clearly indicates that there is direct relation.

Direct/Indirect relation tells how the equation will be written.

7 : 1  ::  7 : y ________ (ii)

By (i) and (ii)

1 : 7 :: 7 : y

     7 : 1

7 x 1 x 7 = 7 x 1 x y ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 7)

To Find

Days required by one spider to make one web = ?

Solution

Method I

Let suppose

Days required by one spider to make one web = y

Spider        Web           Days

7                 7                 7

1                 1                  y

  • Relation between spider and days is inverse.
  • Relation between web and days is direct so;

1 : 7 :: 7 : y

     7 : 1

7 x 1 x 7 = 7 x 1 x y

49 x 1 = 7y

7y = 49

y = 49/7

y = 7 days

Days required by one spider to make one web = 7 days answer

Method II

Days required by 7 spiders to make 7 web = 7 days

Days required by 7 spiders to make 1 web = 7/7 days

Days required by 7 spiders to make 1 web = 1 day

Days required by 1 spider to make 1 web = 1 x 7 days

Days required by 1 spider to make 1 web = 7 days

Days required by one spider to make one web = 7 days answer

Conclusion

If 7 spiders make 7 webs in 7 days then one spider will make one web in 7 days.

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