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?

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.