Q. 63.7( 19 Votes )

A can do a piece of work in 24 hours while B alone can do it in 16 hours. If A, B and C working together can finish it in 8 hours, in how many hours can C alone finish the work?

Answer :

Number of hours A required do a piece of work : 24 hours


Number of hours B required do a piece of work : 16 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 : = = =


=


40X +384 = 48X


8X = 384


X = = 48 hours


Siraj can do the work 48 hours.


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