Q. 73.8( 22 Votes )

A, B and C working together can finish a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?

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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