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3 April, 20:14

If 6 men or 8 women can finish a work in 12 days, 9 men and 12 women will finish the work nearly?

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  1. 3 April, 20:19
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    4 days to complete the work.

    Explanation:

    6 MEN OR 8 WOMEN

    means that each man completes the 1 / (6*12) of the work per day

    OR each women completes 1 / (8*12) of the work per day

    9 MEN AND 12 WOMEN completes ...

    9 * 1 / (6*12) + 12 * 1 / (8*12) of the work per day.

    Note that we add these 2 fractions because of the word 'AND'.

    that gives us a simple fraction of 1/4 of the work per day.

    Thus reversing it, gives you time taken = 4 days to complete the work.
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