| Seventy five men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time? [SSC (CPO) 2014] |
A) 300
B) 326
C) 350
D) 375
Correct Answer: A
Solution :
| 75 men can lay down railway line in 3 months, |
| i.e. \[(3\times 30=90\,\,\text{days)}\] |
| Now, let x men can lay down railway line in 18 days. |
| We know that, |
| \[{{M}_{1}}{{D}_{1}}={{M}_{2}}{{D}_{2}}\] (i) |
| Here, \[{{M}_{1}}=75,\]\[{{D}_{1}}=90\] |
| \[{{M}_{2}}=x,\]\[{{D}_{2}}=18\] |
| On putting the values in Eq. (i), we get |
| \[75\times 90=x\times 18\]\[\Rightarrow \]\[x=\frac{75\times 90}{18}\] |
| \[\Rightarrow \] \[x=75\times 5=375\,\,\text{men}\] |
| \[\therefore \]375 men can lay down railway line in 18 days. |
| Now, number of more man required will be |
| \[=375-75=300\,\,\text{men}\] |
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