Multiple Choice Questions on 20 women can complete a work in 14 days and 10 children take 14 days to complete the work How many d........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

20 women can complete a work in 14 days and 10 children take 14 days to complete the work How many d...........

Quant (SSC) Time and work
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    20 women can complete a work in 14 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?

    42/5

    Incorrect Answer

    56/5

    Correct Answer

    62/5

    Incorrect Answer

    34/5

    Incorrect Answer
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    Explanation:
    20 women can complete the work in 14 days
    Let the work completed by 1 women in 1 day = w
    So work done by 20 women in 1 day = 20 × w
    We know that work = M × D × H
    Here,
    M = no. of men
    D = no of days
    H = hours
    ∴ Work done by 20 women in 14 days = 20 × w × 14
    Let the work completed by 1 child in 1 day = c
    So, work completed by 10 children in 1 day = 10 × c
    So, work done by 10 children in 14 days = 10 × c × 14
    ? Work is equal
    ∴ 20 × w × 14 = 10 × c × 14
     2 × w = c
    Let 5 women and 10 children complete the work in = d days
    ∴ Complete work = (5 × w + 10 × c) × d
    ? 1 child = 2 women
    ∴ 10 children = 20 women
    (5 women + 20 women) = 25 women
    Again work is equal 25 × w × d = 20 × w × 14
    So, d = 56/5 days

    By: Amit Kumar
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