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 A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days In what time can A alone do it?

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 A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days In what time can A alone do it?

A). 80

B). 100

C). 120

D). 150


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120



( A + B)’s one day work is 1/72
( C + B)’s one day work is 1/120
( A +C)’s one day work is 1/90
2(A+B+C )’s one day work is: (1/72 +1/120 +1/90) = 12/360 =1/30
(A+B+C )’s one day work is: 1/60
A’s 1 day work is =(1/60 - 1/120) = 1/120 =>120 days

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