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A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

  • A.20 days
  • B.22.5 days
  • C.25 days
  • D.30 days

Answer: B

Let the time taken by A be T days. Then B takes 3T days. The difference in time is \(3T - T = 2T = 60\) days. So, \(T=30\). A takes 30 days and B takes 90 days. Their combined one day's work is \(1/30 + 1/90 = (3+1)/90 = 4/90 = 2/45\). So, together they will take 45/2 = 22.5 days.

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