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P is twice as efficient as Q. Q takes 12 days to complete a job. If both of them work together, how much time will they take to complete the job?
- A6 days
- B5 days
- C4 days
- D3 days
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CCommunity
Time taken by Q to complete a job = 12 days
P is twice as efficient.
∴ Time taken by P to complete the job = 12/2 = 6 days
Work done by Q in 1 day = 1/12
Work done by P in 1 day = 1/6
Work done in 1 day = 1/12 + 1/6 = 3/12 = ¼
∴ Time taken by to complete the work together = 4 days.
P is twice as efficient.
∴ Time taken by P to complete the job = 12/2 = 6 days
Work done by Q in 1 day = 1/12
Work done by P in 1 day = 1/6
Work done in 1 day = 1/12 + 1/6 = 3/12 = ¼
∴ Time taken by to complete the work together = 4 days.