Q. 34.6( 9 Votes )

A can do a job in

Answer :

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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RS Aggarwal - Mathematics