A) \[\frac{7}{9}\]
B) \[\frac{5}{8}\]
C) \[\frac{1}{3}\]
D) \[\frac{2}{3}\]
Correct Answer: A
Solution :
| [a] Let 70 men works 8h/ day and complete x part of that work in 24 days. Then, according to the question \[\frac{{{M}_{1}}\times {{H}_{1}}\times {{D}_{1}}}{{{W}_{1}}}=\frac{{{M}_{2}}\times {{H}_{2}}\times {{D}_{2}}}{{{W}_{2}}}\] \[\Rightarrow \] \[\frac{90\times 12\times 16}{1}=\frac{70\times 8\times 24}{x}\] \[\Rightarrow \] \[x=\frac{70\times 8\times 24}{90\times 12\times 16}\] \[\therefore \] \[x=\frac{7}{9}\text{part}\] |
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