10 women can complete a work in 7 days, and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Answer: 7 days
Explanation
Work done by 10 women in 7 days = 1
Work done by 1 woman in 7 days = 1/10
Work done by 1 woman in 1 day = 1/(10 × 7) = 1/70
Work done by 10 children in 14 days = 1
Work done by 1 child in 14 days = 1/10
Work done by 1 child in 1 day = 1/(10 × 14) = 1/140
Work done by 5 women in 1 day = 5 × 1/70 = 5/70 = 1/14
Work done by 10 children in 1 day = 10 × 1/140 = 10/140 = 1/14
Total work done per day = 1/14 + 1/14 = 2/14 = 1/7
Total days required = 7 days
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