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
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.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
