| 16 men can finish a piece of work in 49 days. 14 men started working and in 8 days they could finish certain amount of work. If it is required to finish the remaining work in 24 days, then how many more men should be added to the existing workforce? [IBPS RRB (Office Assistant) 2015] |
A) 21
B) 28
C) 16
D) 18
E) 14
Correct Answer: E
Solution :
| Total work \[=16\times 49=784\,\,unit\] |
| Remaining work \[=784-14\times 8=672\,\,unit\] |
| Let x men should be added to finish the remaining work in 24 days. |
| \[(14+x)\times 24=672\] |
| \[\Rightarrow \] \[14+x=\frac{672}{24}\] |
| \[\Rightarrow \] \[14+x=28\] |
| \[\therefore \] \[x=14\] |
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