A) 5 days
B) 6 days
C) 7 days
D) 8 days
Correct Answer: B
Solution :
(b): 45 MEN, 16 days \[\Rightarrow \] 1 work. 1 man, 1 day \[\Rightarrow \frac{1}{45\times 16}\] work For first 6 days: 45 men, 6 days \[\Rightarrow \frac{45\times 16}{45\times 16}\] work =3/8 work. Work left \[=1-3/8=5/8.\] Now, 45+30=75men, 1 man, 1 day \[=\frac{1}{45\times 16}\]= work 75 men, 1 day \[=\frac{75}{45\times 16}\] work 75 men, x days \[=\frac{75x}{45\times 16}\] work But \[=\frac{75x}{45\times 16}\]work= \[\frac{5}{8}\] \[\Rightarrow x=\frac{5}{8}\times \frac{45\times 16}{75}=6\]days.
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