| 24 men can complete a piece of work in 15 days. 2 days after 24 men started working, 4 men left the work. How many more days will the remaining men now take to complete the remaining work? |
A) \[15\frac{3}{5}\]
B) \[16\frac{4}{5}\]
C) \[11\frac{2}{5}\]
D) \[10\frac{4}{5}\]
E) \[14\frac{1}{5}\]
Correct Answer: A
Solution :
| \[\frac{\text{Work}}{\text{Men}\times \text{Days}}=\frac{\text{Remaining}\,\text{work}}{\text{Men}\times \text{Days}}\] |
| \[\frac{W}{24\times 13}=\frac{W}{20\times D}\]\[\Rightarrow \]\[20\times D=24\times 13\] |
| \[\Rightarrow \] \[D=\frac{24\times 13}{20}=\frac{78}{5}=15\frac{3}{5}days\] |
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