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b)5 men can do equal amount of work as 8 women. If 3 men and 5 women
combinely do job in 10 days, then how many woman required to finish it in
14 days?

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  • work -

    5 men = 8 women(in terms of working capability)------[1]
    now,3men + 5 women = 10.
    their 1 day's work is:
    3 men + 5 women = 1/10
    =>30 men + 50 women = 1--------[2]
    from [1],1 men = 8/5 women----[3]
    [3] in [2],
    30*8/5 women + 50 women = 1.
    =>(48+50) women = 1.
    =>98 women = 1.
    that means, 98 women can do the work in 1 day.
    therefore, in 14 days = 98/14 women can do it.
    = 7 women.

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