Quantitative Aptitude Ques 1208

Question: 12 men and 16 boys can do a piece of work in 5 days while 13 men and 24 boys finish it in 4 days. 5 men and 10 boys will finish it in

Options:

A) 10 days

B) 12 days

C) 9 days

D) 15 days

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ (12m+16b) $ can do a work in 5 days. $ (60m+80b) $ can do a work in 1 day. $ (13m+24b) $ can do a work in 4 days. $ (52m+96b) $ can do a work in 1 day. $ 60m+80b=52m+96b $

$ \Rightarrow $ $ 8m=16b $
$ \Rightarrow $ $ m=2b $ Now, $ 12m+16b=12\times 2+16=40 $ boys can do work in 5 days.

$ \therefore $ $ 5m+10b=[5\times 2+10] $ = 20 boys will take $ =\frac{40\times 5}{20}=10days $

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