A) 50
B) 100
C) 150
D) 200
Correct Answer: A
Solution :
Remaining work\[=1-\frac{1}{2}=\frac{1}{2}\] Number of remaining days\[=60-40=20\] \[\therefore \]In 40 days\[\frac{1}{2}\]work is done by = 50 workers \[\Rightarrow \]In1 day\[\frac{1}{2}\]work is done by \[=50\times 40\] \[\Rightarrow \]In 20 days - work is done by \[=\frac{50\times 40}{20}\] \[\therefore \]Number of more workers to be employed \[=100-50=50\] Short Trick \[\frac{A\times D}{W}=\frac{{{A}_{1}}\times {{D}_{1}}}{{{W}_{1}}}\] Here, A= 50, D= 40, W \[=\frac{1}{2}\] \[{{A}_{1}}\]= Number of workers required to do the remaining work \[{{D}_{1}}\]= Number of remaining days \[{{W}_{1}}\]= Remaining work \[\because \] \[\frac{50\times 40}{1/2}=\frac{{{A}_{1}}\times 20}{1/2}\] \[\Rightarrow \] \[{{A}_{1}}=\frac{50\times 40}{20}=100\] Number of more workers to be employed \[=100-50=50\]
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