A) 20
B) 30
C) 40
D) 50
Correct Answer: A
Solution :
\[\because \]Work of 4 men = Work of 7 women Work of 1 man = Work of \[\frac{7}{4}\]women \[\Rightarrow \]Work of 8 men = Work of\[\frac{7}{4}\times 8=14\] women\[\Rightarrow \]Work of (8 men + 7 women) =14+7= Work of 21 women \[\because \] 7 women finish the work in = 60 days \[\Rightarrow \]7 women finish me work\[=60\times 7\] \[\therefore \]21 women finish the work \[=\frac{60\times 7}{21}=20\]days Short Trick Required time\[=\frac{a}{\left( \frac{{{A}_{1}}}{A}+\frac{{{B}_{1}}}{B} \right)}\] [Here, \[a=60,\]\[{{A}_{1}}=8,\]\[A=4,\]\[{{B}_{1}}=7,\]\[B=7\]] \[=\frac{60}{\left( \frac{8}{4}+\frac{7}{7} \right)}=\frac{60}{(2+1)}=20\]days
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