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 $

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