A 10 hec field is reaped by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man, a woman and a child are in the ratio 5 : 4 : 2, then 16 hec field will be reaped by 6 men, 4 women and 7 children in |
A) 5 days
B) 6 days
C) 7 days
D) 8 days
Correct Answer: D
Solution :
Ratio of their efficiencies = 5 : 4 : 2 |
\[\therefore \]Ratio of work \[=\frac{1}{5}:\frac{1}{4}:\frac{1}{2}=4:5:10\] |
\[\Rightarrow \] \[4M=5W=10C\] |
\[\Rightarrow \] \[2M+3W+4C=5C+6C+4C=15C\] |
and \[6M+4W+7C=15C+8W+7W=30C\] |
\[\therefore \] \[x=\frac{15\times 16}{30\times 10}\times 10=8\,\,\text{days}\] |
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