Multiple Choice Questions on 4 boys and 3 women can do a piece of work in 6 days while 2 boys and 4 women can do the same piece o........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

4 boys and 3 women can do a piece of work in 6 days while 2 boys and 4 women can do the same piece o...........

Quant (SSC) Time and work
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    4 boys and 3 women can do a piece of work in 6 days while 2 boys and 4 women can do the same piece of work in 9 days. How much time will be taken by 7 boys and 9 women to do the same piece of work?

    3 days

    Correct Answer

    7 days

    Incorrect Answer

    8 days

    Incorrect Answer

    12 days

    Incorrect Answer
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    Explanation:
    As per the given information, work done by 4 boys and 3 women in 6 days must be equal to work done by 2 boys and 4 women in 9 days.
    Therefore, we get
    (4B + 3W) × 6 = (2B + 4W) × 9
    ⇒ 24B + 18W = 18B + 36W
    ⇒ 6B = 18W ⇒ 1B = 3W
    Now, 2B + 4W= (2 × 3)W + 4W = 10W
    ⇒ 10 women do a piece of work in 9 days.
    Similary, 7B + 9W = (7 × 3)w + 9W = 30W
    Now, when 10 women do a piece of work in 9 days,
    30 women (thrice of 10) will do the same piece of work in 3 days (? Time ∝ 1/Efficiency ).

    By: Amit Kumar
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