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    Question

    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?
    A 5 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D none of these Correct Answer Incorrect Answer

    Solution

    ATQ, we can say that 10 women can complete the work in 7 days. 70 women can complete the work in 1 day. Again, 10 children can complete the work in 14 days. 140 children can complete the work in 1 day. 70 women = 140 children 1 women = 2 children 5 women + 10 children (10 + 10) children = 20 children. Now, 140 children can complete the work in 1 day 20 children can complete in 140/20 = 7 days Alternate Solution: (10W) × 7 = (10 C ) ×14    So 1W=2C Now , (10W) × 7 = (5W+10 C ) × T (10 × 2) × 7 = (5 × 2+10 × 1 ) × T 140 = 20T T = 140/20 = 7 days

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