Question : Zee and Gee can complete a task together in 24 days. If the efficiencies of Zee and Gee are in the ratio 3 : 8, respectively, then in how many days can Gee complete the task alone?
Option 1: 33 days
Option 2: 55 days
Option 3: 88 days
Option 4: 44 days
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Correct Answer: 33 days
Solution : Time taken by Zee and Gee to complete a task = 24 days The ratio of efficiencies of Zee and Gee = 3 : 8 Let the efficiencies of Zee be $3x$ and Gee be $8x$. Total work done by Zee and Gee = $24 × (3x+8x) = 24 × 11x = 264x$ Time taken by Gee to complete the task = $\frac{\text{total work}}{\text{efficiency of Gee}}$ = $\frac{264x}{8x}$ = $33$ days Hence, the correct answer is 33 days.
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