Question : After working alone for 12 days, Reena finds that only 10% of the work is completed. She employs Priya who is 40% more efficient than Reena. How many more days will they together take to complete the remaining work?
Option 1: 30 days
Option 2: 50 days
Option 3: 45 days
Option 4: 40 days
Correct Answer: 45 days
Solution :
Since Priya is 40% more efficient than Reena
Let the efficiency of Reena be 10, then the efficiency of Priya will be 14.
Also, let the work done by Reena in days is 10% = 12 × 10 = 120 units
So, the remaining work (90%) = 1080 units
If both worked together,
1 day work for both = 10 + 14 = 24 units
Time taken by them to finish the remaining work = $\frac{1080}{24}$ = 45 days
Hence, the correct answer is 45 days.
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