| A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, 5 alone could do the work in |
A) 5 days
B) 9 days
C) 6 days
D) 10 days
Correct Answer: C
Solution :
| Work done by A and Bin 2 days \[=\frac{1}{3}\times 2=\frac{2}{3}\] |
| Remaining work \[=1-\frac{2}{3}=\frac{1}{3}\] |
| Now, \[\frac{1}{3}\]work is done by A in 2 days. |
| \[\therefore \]Whole work will be done by A in \[2\times 3=6\]days |
| B's 1 day's work \[=\frac{1}{3}-\frac{1}{6}=\frac{2-1}{6}=\frac{1}{6}\] |
| Hence, B alone can do the work in 6 days. |
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