Question : If Anju is 30% more efficient than Bittu, then how much time will they take, working together, to complete a job which Anju alone could have done in 23 days?
Option 1: $13$ days
Option 2: $20 \frac{3}{17}$ days
Option 3: $15$ days
Option 4: $11$ days
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Correct Answer: $13$ days
Solution :
Given, Anju is 30% more efficient than Bittu.
Time taken by Anju to complete the work alone = 23 days
Let the efficiency of Bittu be 100.
Efficiency of Anju = 100 + 30 = 130
Total work = 130 × 23 = 2990
Combined efficiency of Anju and Bittu = 100 + 130 = 230
Time taken by them to complete the work
= $\frac{\text{Total Work}}{\text{Total efficiency}}$
= $\frac{2990}{230}$
= $13$ days
Hence, the correct answer is $13$ days.
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