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ML Aggarwal Solutions Class 8 Mathematics Solutions for Direct and Inverse Variation Exercise 9.3 in Chapter 9 - Direct and Inverse Variation

Question 7 Direct and Inverse Variation Exercise 9.3

If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work?

Answer:

Given:

3 women’s work = 5 girl’s work

1 women’s work = 5/3 girl’s work

7 women’s work = (5/3) × 7 girl’s work = 35/3 girls’ s work

7 women and 11 girls works = (35/3) + 11 girl’s work = 68/3 girl’s work

Since 5 girls can do the work in 17 days

1 girl can do the work in = 17 × 5 days

68/3 girls can do the work in = (17 × 5)/(68/3) days

= (17 × 5 × 3)/68 days

= 15/4 days

= 3 ¾ days

∴ 7 women and 11 girls can do complete work in 3 ¾ days.

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