| 20 men can complete a piece of work in 16 days. After 5 days from the start of the work, some men left. If the remaining work was completed by the remaining men in \[18\frac{1}{3}\,days,\] how many men left after 5 days from the start of the work? |
A) 4
B) 10
C) 8
D) 5
E) 6
Correct Answer: C
Solution :
| Let x men left the work after 5 days. |
| Remaining days \[=16-5=11\text{ }days.\] |
| Then, \[\frac{W}{20\times 11}=\frac{W}{(20-x)\times \frac{55}{3}}\] |
| \[\Rightarrow \] \[20\times 11=(20-x)\times \frac{55}{3}\] \[\Rightarrow \] \[220=\frac{1100}{3}-\frac{55x}{3}\] |
| \[\Rightarrow \] \[\frac{55x}{3}=\frac{1100}{3}-220\] |
| \[\Rightarrow \] \[x=\frac{440}{55}=8\,men\] |
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