If 12 Men Or 18 Women Can Complete a Piece of Work in 7 Days, in How Many Days Can 4 Men and 8 Women Complete the Same Work? - Mathematics

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Sum

If 12 men or 18 women can complete a piece of work in 7 days, in how many days can 4 men and 8 women complete the same work?

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Solution

12 men = 18 women

∴ 4 m =`18/12xx4`

= 6 women

Total women in second case = 4 men + 8 women

6 + 8 = 14 women

18 women can do a piece of work in 7 days

Let 14 women will do the same work in x days

∴ 18: 14: : 7: x ........(Less women, more days)

⇒ 18 : 14 : : x : 7 

x = `(18xx7)/14` .......(Using inverse proportion)

= 9 

∴ They will complete the work in 9 days

Concept: Time and Work
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 10 Direct and Inverse Variations
Exercise 10 (C) | Q 11 | Page 126
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