Quantitative Aptitude Ques 775
Question: 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
Options:
A) 5 days
B) 6 days
C) 7 days
D) 8 days
Show Answer
Answer:
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=8days $
BETA
