1.

If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days, then in how many days can C alone do the job?1). 362). 63). 184). 12

Answer»

We have,

EFFICIENCY of (A + B + C) : (B + C) : (C + A) = (1/4) : (1/4.5) : (1/12) = 9 : 8 : 3

⇒ Efficiency of C = efficiency of {(A + C) + (B + C) - (A + B + C)} = 8 + 3 - 9 = 2

⇒ (Efficiency of A + B + C) / (Efficiency of C) = (Time taken by C) / (Time taken by A + B)

⇒ 9/2 = (Time taken by C)/4

∴ Time taken by C = 18 days



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