| A is thrice as good a workman as B and therefore, able to finish a job in 60 days less than B. Working together they will do it in |
A) 20 days
B) \[22\frac{1}{2}\,\,days\]
C) 25 days
D) 30 days
Correct Answer: B
Solution :
| A is thrice as efficient as B. |
| Then, if B takes 3x days, then A can do this in x days. |
| Now, \[3x-x=60\] |
| \[\Rightarrow \] \[2x=60\] |
| \[\Rightarrow \] \[x=30\,days\] |
| \[\therefore \] \[3x=90\text{ }days\] |
| \[\therefore \] Working together they can finish the job in |
| \[=\,\,\frac{30\times 90}{30+90}=\frac{2700}{120}=22.5\,days\] |
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