Question : Ketan and Kunal can complete a job together in 7 days. Kunal is $\frac{7}{4}$ times as efficient as Ketan. In how many days can Kunal alone complete the job?
Option 1: 12 days
Option 2: 14 days
Option 3: 10 days
Option 4: 11 days
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Correct Answer: 11 days
Solution :
Given: Kunal = $\frac{7}{4}$ of ketan
Efficiency of Kunal : Efficiency of ketan = 7 : 4
Total Efficiency = (7 + 4) = 11
Total work = Efficiency × Number of days = 11 × 7 = 77
Now, Kunal's efficiency = 7
Thus, Kunal takes to complete the work alone = $\frac{\text{Total work}}{\text{Number of days}}= \frac{77}{7}= 11$ days
Hence, the correct answer is 11 days.
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