Question

SSC Test Questions

12 men can complete a work in 18 days. Six days after they started working, 4 more men joined them. How many days will all of them together complete the remaining work?

Answer 1

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