The ratio of the efficiencies of two workers, P and Q, is 5 : 2. If P can complete a project in 12 days, how many days will Q take to complete the same project alone?
30 days
Efficiency and time are inversely proportional for the same amount of work:
\(\dfrac{\text{time}_Q}{\text{time}_P} = \dfrac{\text{efficiency}_P}{\text{efficiency}_Q} = \dfrac{5}{2}\).
So \(\text{time}_Q = \tfrac{5}{2} \times 12 = 30\) days.
Hence, Q will take 30 days to complete the project alone.
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