a b and c can complete a piece of work in 15 20 and 30 days respectively. all three of them started working together and after two days a quit. b left six days before the completion of the work. in how many days was the work completed

a b and c can complete a piece of work in 15 20 and 30 days respective

1.	a b and c can complete a piece of work in 15 20 and 30 days respectively. all three of them started working together and after two days a quit. b left six days before the completion of the work. in how many days was the work completed
Answer» Total work=lcm of 15,20,30=300 a 1 DAY work=300/15=20 B 1 day work=300/20=15 c 1 day work=300/30=10 (a+b+c) 1 day work=20+15+10=45 days let x be the days to COMPLETE the work then a working days =2 b working days=x-6 c working days=x now 20x+15(x-6)+10x=300 20×2+15x-90+10x=300 25x-50=300 x=350/25=14 days

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a b and c can complete a piece of work in 15 20 and 30 days respectively. all three of them started working together and after two days a quit. b left six days before the completion of the work. in how many days was the work completed

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