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      Question

      B alone can finish a job in 18 days. A is twice as

      efficient as B. In how many days can A and B together complete the job?
      A 10 days Correct Answer Incorrect Answer
      B 6 days Correct Answer Incorrect Answer
      C 8 days Correct Answer Incorrect Answer
      D 5 days Correct Answer Incorrect Answer

      Solution

      If B takes 18 days, B’s work rate = 1/18 job per day. A is twice as efficient → A’s rate = 2 × (1/18) = 1/9 job per day. Together: rate = 1/18 + 1/9 = 1/18 + 2/18 = 3/18 = 1/6 job per day. Time taken together = 1 ÷ (1/6) = 6 days

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