A can do a job in 16 days and B can do the same job in 12 days. With the help of C. they can finish the job in 6 days only. Then, C alone can finish it in
Number of days A required do a piece of work : 16 days
Number of days B required do a piece of work : 12 days
Let number of days C required to do a piece of work : X days
Number of days required by A, B and C together to do a piece of work: 6 days
Work done by A in one day: 
Work done by B in one day: 
Work done by C in one day: 
Work done by A, B and C together in a one day: 
Work done by A, B and C together in one hour : 
= 
= 
= 
= 
⇒ 42X +288 = 48X
⇒ 6X = 288
⇒ X = 
= 48 days
C alone can do the work 48 days.
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