A) 3 days
B) 5 days
C) 10 days
D) 12 days
E) 15 days
Correct Answer: A
Solution :
| [a] Time taken by A and B both to complete the work \[=\,\,\frac{12\times 15}{27}=\frac{20}{3}\,\,days\] |
| \[\therefore \]In 1 day, they can complete \[=\frac{3}{20}part\] |
| \[\therefore \]In 5 day, then can complete \[=5\times \frac{3}{20}=\frac{3}{4}\,\,part\] |
| Remaining work \[=\,\,1-\frac{3}{4}=\frac{1}{4}\] |
| Time taken by A to complete the work \[=\,\,\frac{\frac{1}{4}}{\frac{1}{12}}=3\,\,days\] |
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