Answer :
Number of hours A required do a piece of work : 20 hours
Number of hours B required do a piece of work : 24 hours
Let number of hours C required to do a piece of work : X hours
Number of hours required by A, B and C together to do a piece of work : 8 hours
Work done by A in one hour: 
Work done by B in one hour: 
Work done by C in one hour: 
Work done by A, B and C together in a one hour : 
Work done by A, B and C together in one hour : 
= 
= 
= 
= 
⇒ 88X +960 = 120X
⇒ 32X = 960
⇒ X = 
= 30 hours
C can do the work 30 hours.
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