| A and B together can complete a work in 15 days. A is 50% more efficient worker than B. How long will A take to complete the work alone? |
A) 20 days
B) 21 days
C) 21.4 days
D) 25 days
Correct Answer: D
Solution :
| Let B can do the work in x days. |
| Then, A can do the work \[\frac{2x}{3}days.\] in |
| \[\therefore \] \[\frac{1}{x}+\frac{3}{2x}=\frac{1}{15}\] |
| \[\Rightarrow \] \[\frac{5}{2x}=\frac{1}{15}\]\[\Rightarrow \]\[x=\frac{75}{2}\] |
| Hence, time taken by \[A=\frac{2}{3}\times \frac{75}{2}=25\,\,\text{days}\] |
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