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2015-05-02T17:34:36+05:30

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12  men  complete work  in  18 days
productivity of 12 men  in  one day :  1/18
productivity of 1 man in one day :  1/18 * 1/12 = 1/216

12 men worked  6 days :  amount of work done:  1/18  * 6 = 1/3

Amount of work remaining: 1 - 1/3  = 2/3

4 men joined them.
productivity of 16 men in one day :  16 * 1 / 216  = 2 / 27

16  men will finish the remaining work in:  remaining work / productivity
               =  (2/3)  /  (2/27)    = 2 * 27 / (3*2)   = 9 days

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