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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
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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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