s t and u can complete a work in 40 48 and 60 days respectively. they received rs.10800 to complete the work.they begin the work together but t left 2 days before the completion of work and u left 5 days before the completion of work.s has completed the ramaining work alone. what is the share of s from the total money?

s t and u can complete a work in 40 48 and 60 days respectively. they

1.	s t and u can complete a work in 40 48 and 60 days respectively. they received rs.10800 to complete the work.they begin the work together but t left 2 days before the completion of work and u left 5 days before the completion of work.s has completed the ramaining work alone. what is the share of s from the total money?
Answer» Total work=lcm of 40,48,60=240 S 1 DAYS work=240/40=6 T 1 DAY work=240/48=5 U 1 days work=240/60=4 (S+T+U) 1 day work=6+5+4=15 let X days be the time to complete the work working days of S =x working days of T=x-2 days working days of U=x-5 days now 6x+5(x-2)+4(x-5)=240 6x+5x-10+4x-20=240 15x-30=240 15x=270 x=270/15=18 days

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