Question

$24$ men can complete a work in $16$ days, $32$ women can complete the same work in $24$ days. $16$ men and $16$ women started working and worked for $12$ days. How many more men are to be added to complete the remaining work in $2$ days?

• A. $16$
• B. $24$
• C. $36$
• D. $48$

Answer 1

Answer: (B)

$24$

24 men can complete the work in 16 days

1 man can complete the work in $=16\times 24=384Days$

32 women cam complete the work in 24 days

1 woman can complete the work in a$=32\times 24=768days$

Ratio between man and woman$=384:768=1:2$

then 1 man =2 women

The work is done br 16 men and 16 women in 12 days

16 women=8 men

thus the number of men complete the work in 12 days=$16+8=24men$

Since 24 men takes 16 days to complete the work

So after 12 days,4 days work will be left for 24 Men

Thus the work left can be completed in 2 days by$=24\times \frac{4}{2}=48Days$

Additional men required to complete the work in 2 days$=48-24=24men$