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1. A and B do a work together in 24 days and B and C do the same worktogether in 18 days. Similarly A and C do that work together in 12 days. Tell, in howmany days A will flnish alone that work. |
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Answer» (A+ B)’s 1 day’s work = 1/24(B + C)’s 1 day’s work = 1/18(C + A)’s 1 day’s work = 1/12On adding,2(A + B + C)’s 1 day’s work = 1/24 + 1/18 + 1/12 = (3 + 4 + 6)/72 = 13/72 ∴ (A + B + C)’s 1 day’s work = 13/144∴ A will finish alone this work in= 13/144 - 1/18= (13 - 8)/144= 5/144 A alone will finish work in 144/5 = 28.8 days |
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