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?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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