Quantitative Aptitude Ques 1335
Question: If 2 men and 3 boys can do a piece of work in 16 days and 3 men and 2 boys can do it in 14 days, how long will 5 men and 4 boys take to do it?
Options:
A) 6 days
B) 8 days
C) 9 days
D) 10 days
Show Answer
Answer:
Correct Answer: B
Solution:
- 2 men + 3 boys can do a work in 16 days.
$ \Rightarrow $ 32 men and 48 boys can do the work in 1 day Again, 3 men + 2 boys can do the work in 14 days.
$ \Rightarrow $ 42 men + 28 boys can do the work in 1 day.
$ \therefore $ 42 men + 28 boys = 32 men + 48 boys 10 men = 20 boys
$ \Rightarrow $ 1 man = 2 boys Now, 2 men + 3 boys = 2 (2) boys + 3 boys =7 boys
$ \therefore $ 5 men + 4 boys = 5(2) boys + 4 boys = 14 boys 7 boys can do the work in = 16 days
$ \therefore $ 14 boys can do the work in $ =\frac{7\times 16}{14}=8days $
BETA
