A and B can do a piece of work in 12 days B and C in 15 days and A in 20 days when they work together the time required will be??
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A and B can do a work in 12 days.
Therefore, they can do 1/12 of work in 1 day.
B and C can do a work in 15 days.
Therefore, they can do 1/15 of a work in 1 day.
A can do a work in 20 days.
Therefore, he can do 1/20 work in 1 day.
Therefore, B can do ( 1/12 - 1/20 = 5-3/60 = 2/60 ) or 1/30 of a work in 1 day.
Therefore, C can do ( 1/15-1/30 = 2-1/30 ) or 1/30 of a work in 1 day.
Therefore, A,B and C can do {( 1/20 + 1/30 + 1/30 ) = ( 3+2+2/60 ) } or 7/60 work in 1 day.
Therefore, they can do a work in (60/7) or 8.57 days.(Ans)
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