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2014-11-15T05:08:17+05:30

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15 men do 4 hours each day on 43 days. 
 total work duration - hours = 15 * 4 * 42 = 2, 520 hours

number of days : N  , let it be
Number of hours women put in to complete work = 21 * N * 6 = 126 N hours

Hence,   126 N * 2/3  =  2, 520 ,          as  2 men = 3 women
               N = 30 

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