| A and B can do a piece of work in 30 and 36 days, respectively. They began the work together but A leaves after some days and B finished the remaining work in 25 days. After how many days did A leave? |
A) 6
B) 11
C) 10
D) 5
Correct Answer: D
Solution :
| A's one day's work \[=\frac{1}{30}\] |
| and B's one day's work \[=\frac{1}{36}\] |
| \[\therefore \] \[(A+B)'s\]one day's work \[=\frac{1}{30}+\frac{1}{36}=\frac{11}{180}\] |
| 25 day's work of \[B=\frac{25}{36}\] |
| \[\therefore \] Remaining work \[=1-\frac{25}{36}=\frac{11}{36}\] |
| A and B can complete work \[\frac{11}{36}\]in |
| \[\frac{11}{36}\div \frac{11}{180}=5\,days\] |
| So, A leaves after 5 days. |
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